
Time bar (total: 11.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 4 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 5 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 6 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 7 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 8 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 9 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 10 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 11 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 12 |
Compiled 34 to 17 computations (50% saved)
| 862.0ms | 8 256× | 0 | valid |
ival-mult: 164.0ms (24.1% of total)const: 117.0ms (17.2% of total)ival-div: 116.0ms (17.1% of total)ival-exp: 71.0ms (10.5% of total)ival-<=: 54.0ms (8% of total)ival-neg: 45.0ms (6.6% of total)ival-fabs: 44.0ms (6.5% of total)ival-add: 43.0ms (6.3% of total)ival-and: 11.0ms (1.6% of total)exact: 11.0ms (1.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 3 | (-8.53019909275723e-23 4.93889000160833e-25) | 1 | (-2.1138935153430793e-6 4.3044540376513396e-8) | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (neg.f32 (fabs.f32 x)) |
| 0 | 0 | - | 0 | - | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 (fabs.f32 x)) s) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (fabs.f32 x) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | sensitivity | 3 | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 3 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 0 |
| - | 3 | 3 | 249 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 81.0ms | 512× | 0 | valid |
Compiled 194 to 37 computations (80.9% saved)
ival-fabs: 27.0ms (41.3% of total)ival-div: 23.0ms (35.2% of total)ival-mult: 5.0ms (7.6% of total)ival-exp: 4.0ms (6.1% of total)ival-add: 2.0ms (3.1% of total)ival-neg: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 10 930× | lower-fma.f64 |
| 10 930× | lower-fma.f32 |
| 3 522× | lower-*.f64 |
| 3 518× | lower-*.f32 |
| 1 474× | lower-/.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 140 |
| 1 | 123 | 128 |
| 2 | 442 | 123 |
| 3 | 1364 | 121 |
| 4 | 3823 | 121 |
| 5 | 6461 | 121 |
| 0 | 11 | 26 |
| 0 | 19 | 26 |
| 1 | 45 | 26 |
| 2 | 114 | 25 |
| 3 | 228 | 25 |
| 4 | 382 | 25 |
| 5 | 674 | 19 |
| 6 | 1251 | 18 |
| 7 | 2511 | 18 |
| 8 | 4661 | 18 |
| 0 | 8211 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(abs x)
Compiled 26 to 11 computations (57.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 26 to 11 computations (57.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (neg.f32 (fabs.f32 x)) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| cost-diff | 64 | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) | |
| cost-diff | 3776 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 10 930× | lower-fma.f64 |
| 10 930× | lower-fma.f32 |
| 3 522× | lower-*.f64 |
| 3 518× | lower-*.f32 |
| 1 474× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 82 |
| 0 | 19 | 82 |
| 1 | 45 | 82 |
| 2 | 114 | 79 |
| 3 | 228 | 79 |
| 4 | 382 | 79 |
| 5 | 674 | 73 |
| 6 | 1251 | 72 |
| 7 | 2511 | 72 |
| 8 | 4661 | 72 |
| 0 | 8211 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(fma.f32 (/.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (exp.f32 (/.f32 (fabs.f32 x) s))) s s) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) | |
| accuracy | 0.03125 | (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) | |
| accuracy | 0.0390625 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 19.0ms | 256× | 0 | valid |
Compiled 84 to 13 computations (84.5% saved)
ival-div: 3.0ms (24.9% of total)ival-mult: 3.0ms (24.9% of total)ival-exp: 2.0ms (16.6% of total)ival-add: 1.0ms (8.3% of total)ival-fabs: 1.0ms (8.3% of total)ival-neg: 1.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ()) |
#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
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#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor -inf x) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor -inf x) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor -inf x) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor -inf x) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor -inf x) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor -inf x) (#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (fabs x) s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | s | @ | inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) |
| 3.0ms | x | @ | inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) |
| 3.0ms | s | @ | 0 | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) |
| 2.0ms | s | @ | -inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) |
| 2.0ms | x | @ | -inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) |
| 1× | egg-herbie |
| 26 522× | lower-fma.f64 |
| 26 522× | lower-fma.f32 |
| 5 264× | lower-+.f64 |
| 5 264× | lower-+.f32 |
| 5 254× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 2020 |
| 1 | 701 | 1883 |
| 2 | 2299 | 1718 |
| 0 | 9072 | 1661 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(* 2 s) |
(* s (+ 2 (* -1 (/ (fabs x) s)))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* 4 s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(* 2 s) |
(* -1 (* s (- (/ (fabs x) s) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* 4 s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
| Outputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/24 binary32) (+.f32 (-.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) (-.f32 (*.f32 (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32)) (/.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (pow.f32 s #s(literal 3 binary32))))) #s(literal 1/4 binary32))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/96 binary32) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/24 binary32) #s(literal 1/4 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 #s(literal 1/16 binary32) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32) (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))))))) s) |
(* 2 s) |
(*.f32 #s(literal 2 binary32) s) |
(* s (+ 2 (* -1 (/ (fabs x) s)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) s) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) s) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))) s) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) (neg.f32 s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/4 binary32)) (fma.f32 #s(literal 5/48 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (/.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (pow.f32 s #s(literal 3 binary32))))) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) (neg.f32 s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/.f32 (-.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32) (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))) (fma.f32 (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 3/4 binary32)) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 3/4 binary32) (*.f32 x x)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (*.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) s) (fabs.f32 x))))) (pow.f32 s #s(literal 3 binary32)))) (neg.f32 s)) |
(* 2 s) |
(*.f32 #s(literal 2 binary32) s) |
(* -1 (* s (- (/ (fabs x) s) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) s) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) s) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)) s) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(*.f32 (neg.f32 s) (fma.f32 #s(literal 4 binary32) (/.f32 (fabs.f32 x) s) #s(literal -4 binary32))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))) |
(*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal -5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (*.f32 #s(literal 3 binary32) (*.f32 x x))) s)) s))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s)) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s)) s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
| 4 988× | lower-*.f64 |
| 4 984× | lower-*.f32 |
| 3 732× | lower-fma.f64 |
| 3 732× | lower-fma.f32 |
| 2 684× | lower-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 74 |
| 0 | 19 | 74 |
| 1 | 74 | 60 |
| 2 | 473 | 59 |
| 3 | 5277 | 58 |
| 0 | 8229 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 44 739 to 3 418 computations (92.4% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 258 | 13 | 1 271 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 259 | 13 | 1 272 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| 99.6% | (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| 79.0% | (/.f32 (*.f32 (pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| ▶ | 99.2% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
| ▶ | 99.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| ▶ | 81.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 58.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (*.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))) | |
| ▶ | 93.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| 93.5% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) | |
| 99.6% | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))) | |
| 97.3% | (exp.f32 (*.f32 (-.f32 (/.f32 (fabs.f32 x) s) (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #s(literal -1 binary32))) | |
| 27.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) | |
| ▶ | 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
Compiled 632 to 356 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) | |
| cost-diff | 128 | (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| cost-diff | 3104 | (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) | |
| cost-diff | 3712 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| cost-diff | 0 | (/.f32 (neg.f32 (fabs.f32 x)) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| cost-diff | 256 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) | |
| cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) | |
| cost-diff | 0 | (/.f32 (neg.f32 (fabs.f32 x)) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| cost-diff | 64 | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) | |
| cost-diff | 3488 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1/4 binary32) s) | |
| cost-diff | 0 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (neg.f32 (fabs.f32 x)) | |
| cost-diff | 0 | (/.f32 (neg.f32 (fabs.f32 x)) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 6 454× | lower-fma.f64 |
| 6 454× | lower-fma.f32 |
| 4 170× | lower-*.f64 |
| 4 158× | lower-*.f32 |
| 1 714× | lower-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 443 |
| 0 | 69 | 436 |
| 1 | 127 | 432 |
| 2 | 294 | 427 |
| 3 | 735 | 426 |
| 4 | 1876 | 425 |
| 5 | 5162 | 414 |
| 0 | 8636 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
s |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) |
#s(literal 1 binary32) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal -2 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) |
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)) |
(/.f32 (fabs.f32 x) s) |
#s(literal -2 binary32) |
(/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
s |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 (fma.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) |
(/.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal -2 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 (expm1.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (neg.f32 s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(*.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (expm1.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(*.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) |
(neg.f32 (expm1.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32))) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (fabs.f32 x) s)) |
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)) |
(/.f32 (fabs.f32 x) s) |
#s(literal -2 binary32) |
(/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(/.f32 (neg.f32 s) (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(neg.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 5.501079337024201 | (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) | |
| accuracy | 5.576644369267593 | (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) | |
| accuracy | 0.03125 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) | |
| accuracy | 0.0390625 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 0.25748758867328747 | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) | |
| accuracy | 0.03125 | (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) | |
| accuracy | 0.0390625 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 18.181169253898055 | #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) | |
| accuracy | 0 | (/.f32 #s(literal 1/4 binary32) s) | |
| accuracy | 23.13943019398213 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) | |
| accuracy | 0.03125 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) | |
| accuracy | 0.0390625 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| accuracy | 0.0703125 | (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 116.0ms | 256× | 0 | valid |
Compiled 435 to 35 computations (92% saved)
ival-add: 25.0ms (30.5% of total)ival-pow: 19.0ms (23.2% of total)ival-div: 15.0ms (18.3% of total)ival-mult: 8.0ms (9.8% of total)ival-exp: 4.0ms (4.9% of total)ival-expm1: 3.0ms (3.7% of total)ival-neg: 3.0ms (3.7% of total)ival-pow2: 2.0ms (2.4% of total)ival-fabs: 1.0ms (1.2% 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 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ()) |
#s(alt (neg.f32 (fabs.f32 x)) (patch (neg.f32 (fabs.f32 x)) #<representation binary32>) () ()) |
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) s) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) (patch (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ()) |
#s(alt (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (patch (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ()) |
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (patch #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (patch (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (fabs x) s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) s) #<representation binary32>) () ())) ()) |
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) s) #<representation binary32>) () ())) ()) |
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) s) #<representation binary32>) () ())) ()) |
#s(alt (/ 1/4 s) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) s) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (+ 1 (exp (* -1 (/ (fabs x) s))))) (taylor 0 s) (#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) (patch (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) (patch (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) (patch (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) (patch (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) (taylor 0 s) (#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #<representation binary32>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | s | @ | inf | ((exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (- 1 (exp (* (/ (fabs x) s) -2))) (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (- 1 (exp (/ (neg (fabs x)) s)))) |
| 7.0ms | x | @ | inf | ((exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (- 1 (exp (* (/ (fabs x) s) -2))) (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (- 1 (exp (/ (neg (fabs x)) s)))) |
| 7.0ms | s | @ | -inf | ((exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (- 1 (exp (* (/ (fabs x) s) -2))) (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (- 1 (exp (/ (neg (fabs x)) s)))) |
| 5.0ms | s | @ | 0 | ((exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (- 1 (exp (* (/ (fabs x) s) -2))) (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (- 1 (exp (/ (neg (fabs x)) s)))) |
| 5.0ms | x | @ | -inf | ((exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (- 1 (exp (* (/ (fabs x) s) -2))) (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (exp (/ (neg (fabs x)) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (- 1 (exp (/ (neg (fabs x)) s)))) |
| 1× | egg-herbie |
| 8 776× | lower-fma.f64 |
| 8 776× | lower-fma.f32 |
| 4 760× | lower-*.f64 |
| 4 760× | lower-*.f32 |
| 4 112× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 9058 |
| 1 | 2044 | 8284 |
| 2 | 7301 | 8212 |
| 0 | 8119 | 7947 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(* 2 s) |
(* s (+ 2 (* -1 (/ (fabs x) s)))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
(* 4 s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (* s (fabs x))))) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (* s (fabs x))))) s) |
(/ (- (+ 1/4 (+ (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (* s (fabs x)))) (* 1/4 (/ (+ (* 1/6 (pow (fabs x) 3)) (pow (fabs x) 3)) (* (pow s 2) (fabs x)))))) (+ (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (* s (fabs x)))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 3)) (+ (* 8/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (pow s 2) (fabs x)))) (* 1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (* (pow s 2) (fabs x))))))) s) |
(/ (- (+ 1/4 (+ (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (* s (fabs x)))) (+ (* 1/4 (/ (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/24 (pow (fabs x) 4)))) (* (pow s 3) (fabs x)))) (* 1/4 (/ (+ (* 1/6 (pow (fabs x) 3)) (pow (fabs x) 3)) (* (pow s 2) (fabs x))))))) (+ (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (* s (fabs x)))) (+ (* 1/16 (/ (+ (* -8/3 (pow (fabs x) 4)) (+ (* -1 (pow (fabs x) 4)) (* -1/3 (pow (fabs x) 4)))) (* (pow s 3) (fabs x)))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 3)) (+ (* 8/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (pow s 2) (fabs x)))) (+ (* 1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (* (pow s 2) (fabs x)))) (+ (* 1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* 1/4 (/ (+ (* 1/6 (pow (fabs x) 3)) (pow (fabs x) 3)) (fabs x))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 3)) (+ (* 8/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (fabs x))) (* 1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (fabs x)))))) (* (pow s 3) (fabs x)))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 3)) (+ (* 8/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (- (* 1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* 1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (* (pow s 3) (fabs x)))))))))) s) |
(* 2 (/ (fabs x) s)) |
(/ (- (* -2 (/ (pow (fabs x) 2) s)) (* -2 (fabs x))) s) |
(/ (- (* 4/3 (/ (pow (fabs x) 3) (pow s 2))) (+ (* -2 (fabs x)) (* 2 (/ (pow (fabs x) 2) s)))) s) |
(/ (- (* -2/3 (/ (pow (fabs x) 4) (pow s 3))) (+ (* -2 (fabs x)) (+ (* -4/3 (/ (pow (fabs x) 3) (pow s 2))) (* 2 (/ (pow (fabs x) 2) s))))) s) |
(* 2 s) |
(* s (- (+ 2 (* -2 (/ (fabs x) s))) (* -1 (/ (fabs x) s)))) |
(* s (- (+ 2 (+ (* -2 (/ (fabs x) s)) (* 4/3 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (fabs x) s)) (+ (* -1/2 (/ (* (fabs x) (- (* -2 (fabs x)) (* -1 (fabs x)))) (pow s 2))) (* 1/3 (/ (pow (fabs x) 2) (pow s 2))))))) |
(* s (- (+ 2 (+ (* -2 (/ (fabs x) s)) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (* 4/3 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (fabs x) s)) (+ (* -1/2 (/ (* (fabs x) (- (* -2 (fabs x)) (* -1 (fabs x)))) (pow s 2))) (+ (* -1/2 (/ (* (fabs x) (- (* 4/3 (pow (fabs x) 2)) (+ (* -1/2 (* (fabs x) (- (* -2 (fabs x)) (* -1 (fabs x))))) (* 1/3 (pow (fabs x) 2))))) (pow s 3))) (+ (* -1/12 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (* (pow (fabs x) 2) (- (* -2 (fabs x)) (* -1 (fabs x)))) (pow s 3))) (* 1/3 (/ (pow (fabs x) 2) (pow s 2)))))))))) |
(* 4 s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(* s (- (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 8/3 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))) (* 2/3 (/ (pow (fabs x) 2) (pow s 2))))) |
(* s (- (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -8/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 8/3 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/2 (/ (* (fabs x) (- (+ (* 8/3 (pow (fabs x) 2)) (pow (fabs x) 2)) (* 2/3 (pow (fabs x) 2)))) (pow s 3))) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 2/3 (/ (pow (fabs x) 2) (pow s 2)))))))) |
4 |
(+ 4 (* -4 (/ (fabs x) s))) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* 4 s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
(/ (fabs x) s) |
(/ (- (* -1/2 (/ (pow (fabs x) 2) s)) (* -1 (fabs x))) s) |
(/ (- (* 1/6 (/ (pow (fabs x) 3) (pow s 2))) (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s)))) s) |
(/ (- (* -1/24 (/ (pow (fabs x) 4) (pow s 3))) (+ (* -1 (fabs x)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 2))) (* 1/2 (/ (pow (fabs x) 2) s))))) s) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(* 2 s) |
(* -1 (* s (- (/ (fabs x) s) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))) |
(* 4 s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/ 1/4 s) |
(* -1 (/ (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (* s (fabs x)))) (+ 1/4 (* -1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (* s (fabs x)))))) s)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* -1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (* -1/4 (/ (+ (* -1 (pow (fabs x) 3)) (* -1/6 (pow (fabs x) 3))) (* s (fabs x))))) (+ (* -1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* -1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (* s (fabs x)))) (* -1/16 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (* s (fabs x)))))) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* -1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (* -1 (/ (- (+ (* -1 (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 3)) (* -1/6 (pow (fabs x) 3))) (fabs x))) (+ (* -1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* -1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (fabs x))) (* -1/16 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (fabs x)))))) (* -1/4 (/ (+ (* -1/3 (pow (fabs x) 4)) (+ (* -1/4 (pow (fabs x) 4)) (* -1/24 (pow (fabs x) 4)))) (* s (fabs x))))) (+ (* -1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 3)) (* -1/6 (pow (fabs x) 3))) (fabs x))) (+ (* -1/4 (/ (* (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* -1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (fabs x))) (* -1/16 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (fabs x)))))) (* s (fabs x)))) (+ (* -1/4 (/ (* (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (- (* -1/4 (/ (+ (* -1 (pow (fabs x) 2)) (* -1/2 (pow (fabs x) 2))) (fabs x))) (* -1/16 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))))) (* s (fabs x)))) (* -1/16 (/ (+ (* -8/3 (pow (fabs x) 4)) (+ (* -1 (pow (fabs x) 4)) (* -1/3 (pow (fabs x) 4)))) (* s (fabs x))))))) s))) s)) 1/4) s)) |
(* 2 (/ (fabs x) s)) |
(* -1 (/ (- (* 2 (/ (pow (fabs x) 2) s)) (* 2 (fabs x))) s)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow (fabs x) 3) s)) (* 2 (pow (fabs x) 2))) s)) (* 2 (fabs x))) s)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow (fabs x) 4) s)) (* 4/3 (pow (fabs x) 3))) s)) (* 2 (pow (fabs x) 2))) s)) (* 2 (fabs x))) s)) |
(* 2 s) |
(* -1 (* s (- (* 2 (/ (fabs x) s)) (+ 2 (/ (fabs x) s))))) |
(* -1 (* s (- (* -1 (/ (- (+ (* -1 (- (* 2 (fabs x)) (fabs x))) (* 4/3 (/ (pow (fabs x) 2) s))) (+ (* 1/3 (/ (pow (fabs x) 2) s)) (* 1/2 (/ (* (fabs x) (- (* 2 (fabs x)) (fabs x))) s)))) s)) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (- (* 2 (fabs x)) (fabs x))) (* -1 (/ (- (+ (* -1 (- (* 4/3 (pow (fabs x) 2)) (+ (* 1/3 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* 2 (fabs x)) (fabs x))))))) (* 2/3 (/ (pow (fabs x) 3) s))) (+ (* 1/12 (/ (pow (fabs x) 3) s)) (+ (* 1/6 (/ (* (pow (fabs x) 2) (- (* 2 (fabs x)) (fabs x))) s)) (* 1/2 (/ (* (fabs x) (- (* 4/3 (pow (fabs x) 2)) (+ (* 1/3 (pow (fabs x) 2)) (* 1/2 (* (fabs x) (- (* 2 (fabs x)) (fabs x))))))) s))))) s))) s)) 2))) |
(* 4 s) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (* s (fabs x)))) (+ 4 (* 2 (/ (fabs x) s)))))) |
(* -1 (* s (- (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) (* -1 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (* s (fabs x))))) (+ (* 1/2 (/ (* (fabs x) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) s)) (* 2/3 (/ (pow (fabs x) 2) s)))) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (fabs x))) (+ (* 1/2 (* (fabs x) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x))))) (* 2/3 (pow (fabs x) 2))))) (* -1 (/ (+ (* -8/3 (pow (fabs x) 4)) (+ (* -1 (pow (fabs x) 4)) (* -1/3 (pow (fabs x) 4)))) (* s (fabs x))))) (+ (* 1/6 (/ (* (pow (fabs x) 2) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) s)) (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (/ (* (fabs x) (- (* -1 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (fabs x))) (+ (* 1/2 (* (fabs x) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x))))) (* 2/3 (pow (fabs x) 2))))) s))))) s))) s)) 4))) |
4 |
(+ 4 (* -4 (/ (fabs x) s))) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* 4 s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))) |
(/ (fabs x) s) |
(* -1 (/ (- (* 1/2 (/ (pow (fabs x) 2) s)) (fabs x)) s)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s)) (fabs x)) s)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (fabs x) 4) s)) (* 1/6 (pow (fabs x) 3))) s)) (* 1/2 (pow (fabs x) 2))) s)) (fabs x)) s)) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(- 1 (exp (* -2 (/ (fabs x) s)))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (- 1 (exp (* -2 (/ (fabs x) s))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s)))))) (- 1 (exp (* -1 (/ (fabs x) s))))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
| Outputs |
|---|
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
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(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s) |
(* s (- (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 8/3 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))) (* 2/3 (/ (pow (fabs x) 2) (pow s 2))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s) |
(* s (- (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -8/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 8/3 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -1/2 (/ (* (fabs x) (- (+ (* 8/3 (pow (fabs x) 2)) (pow (fabs x) 2)) (* 2/3 (pow (fabs x) 2)))) (pow s 3))) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 2/3 (/ (pow (fabs x) 2) (pow s 2)))))))) |
(*.f32 (-.f32 (+.f32 (fma.f32 #s(literal -8/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (fma.f32 #s(literal 11/3 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) (fma.f32 #s(literal -2/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 2/3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) (fabs.f32 x)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/2 binary32) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))) s) |
4 |
#s(literal 4 binary32) |
(+ 4 (* -4 (/ (fabs x) s))) |
(fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32))) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s) #s(literal 1/4 binary32)) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal 1/4 binary32))) (-.f32 (+.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32)) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) s) s)) (/.f32 (*.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x)) (pow.f32 s #s(literal 3 binary32))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/.f32 (-.f32 (+.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal 1/4 binary32)) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (*.f32 x x) s) (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/96 binary32)) (pow.f32 s #s(literal 4 binary32))))) (-.f32 (-.f32 (fma.f32 #s(literal 1/16 binary32) (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (/.f32 #s(literal -5/3 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) s) s))) (/.f32 (*.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x)) (pow.f32 s #s(literal 3 binary32)))) (*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (*.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x))) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (/.f32 (fabs.f32 x) (pow.f32 s #s(literal 4 binary32)))))) s) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(+.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s)) #s(literal 2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(+.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s)) #s(literal 2 binary32)) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
(*.f32 (+.f32 (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -5/3 binary32))) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32))) s) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(/ (- (* -1/2 (/ (pow (fabs x) 2) s)) (* -1 (fabs x))) s) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) |
(/ (- (* 1/6 (/ (pow (fabs x) 3) (pow s 2))) (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s)))) s) |
(/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) (fabs.f32 x)) s) |
(/ (- (* -1/24 (/ (pow (fabs x) 4) (pow s 3))) (+ (* -1 (fabs x)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 2))) (* 1/2 (/ (pow (fabs x) 2) s))))) s) |
(-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/24 binary32) (fabs.f32 x)) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) s) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(/.f32 (-.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32))) (fabs.f32 x) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 1/16 binary32) #s(literal 1/4 binary32)))) (neg.f32 s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/.f32 (-.f32 (-.f32 (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32)) (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (*.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x)))) (fma.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) s) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (*.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (*.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x))) (/.f32 (fabs.f32 x) s))))) (neg.f32 (pow.f32 s #s(literal 3 binary32)))) (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s)) #s(literal 1/4 binary32)) (neg.f32 s)) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s)) |
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(* 2 s) |
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(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (* s (fabs x)))) (+ 4 (* 2 (/ (fabs x) s)))))) |
(*.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (fabs.f32 x) (/.f32 (*.f32 #s(literal -6 binary32) (*.f32 x x)) (neg.f32 (fabs.f32 x)))) s) #s(literal 4 binary32))) |
(* -1 (* s (- (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) (* -1 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (* s (fabs x))))) (+ (* 1/2 (/ (* (fabs x) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) s)) (* 2/3 (/ (pow (fabs x) 2) s)))) s)) 4))) |
(*.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) (fabs.f32 x) (/.f32 (*.f32 #s(literal -6 binary32) (*.f32 x x)) (neg.f32 (fabs.f32 x)))) #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -17/3 binary32)) (neg.f32 (fabs.f32 x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fabs.f32 x)) (fma.f32 #s(literal -2 binary32) (fabs.f32 x) (/.f32 (*.f32 #s(literal -6 binary32) (*.f32 x x)) (neg.f32 (fabs.f32 x)))) (*.f32 #s(literal 2/3 binary32) (*.f32 x x)))) s)) (neg.f32 s)) #s(literal 4 binary32))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (fabs x))) (+ (* 1/2 (* (fabs x) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x))))) (* 2/3 (pow (fabs x) 2))))) (* -1 (/ (+ (* -8/3 (pow (fabs x) 4)) (+ (* -1 (pow (fabs x) 4)) (* -1/3 (pow (fabs x) 4)))) (* s (fabs x))))) (+ (* 1/6 (/ (* (pow (fabs x) 2) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x)))) s)) (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (/ (* (fabs x) (- (* -1 (/ (+ (* -8/3 (pow (fabs x) 3)) (+ (* -2 (pow (fabs x) 3)) (* -1 (pow (fabs x) 3)))) (fabs x))) (+ (* 1/2 (* (fabs x) (- (* -1 (/ (+ (* -4 (pow (fabs x) 2)) (* -2 (pow (fabs x) 2))) (fabs x))) (* 2 (fabs x))))) (* 2/3 (pow (fabs x) 2))))) s))))) s))) s)) 4))) |
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4 |
#s(literal 4 binary32) |
(+ 4 (* -4 (/ (fabs x) s))) |
(fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))) |
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (*.f32 #s(literal -3 binary32) (*.f32 x x)) s)) s)) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))) |
(-.f32 #s(literal 4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 3 binary32) (*.f32 x x) (/.f32 (*.f32 #s(literal -5/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) s)) s)) s)) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(/.f32 (-.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32))) (fabs.f32 x) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 1/16 binary32) #s(literal 1/4 binary32)))) (neg.f32 s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/.f32 (-.f32 (-.f32 (/.f32 (-.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32)) (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (*.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x)))) (fma.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) s) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (*.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (*.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x))) (/.f32 (fabs.f32 x) s))))) (neg.f32 (pow.f32 s #s(literal 3 binary32)))) (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s)) #s(literal 1/4 binary32)) (neg.f32 s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s)) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(*.f32 (neg.f32 s) (fma.f32 #s(literal 4 binary32) (/.f32 (fabs.f32 x) s) #s(literal -4 binary32))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(*.f32 (neg.f32 s) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal -1 binary32) #s(literal -4 binary32))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))) |
(*.f32 (neg.f32 s) (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (*.f32 #s(literal -3 binary32) (*.f32 x x))) s)) (neg.f32 s)) #s(literal 4 binary32))) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(* -1 (/ (- (* 1/2 (/ (pow (fabs x) 2) s)) (fabs x)) s)) |
(/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) #s(literal -1 binary32) (fabs.f32 x)) s) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s)) (fabs x)) s)) |
(/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s)) (neg.f32 s)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (fabs x) 4) s)) (* 1/6 (pow (fabs x) 3))) s)) (* 1/2 (pow (fabs x) 2))) s)) (fabs x)) s)) |
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/24 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (neg.f32 s))) (neg.f32 s)) (fabs.f32 x)) (neg.f32 s)) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (fabs x)) |
(neg.f32 (fabs.f32 x)) |
(* -1 (fabs x)) |
(neg.f32 (fabs.f32 x)) |
(* -1 (fabs x)) |
(neg.f32 (fabs.f32 x)) |
(* -1 (fabs x)) |
(neg.f32 (fabs.f32 x)) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
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(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
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(/ (* (exp (* -1 (/ (fabs x) s))) (- 1 (exp (* -1 (/ (fabs x) s))))) (* s (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (- 1 (exp (* -2 (/ (fabs x) s))))))) |
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(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(- 1 (exp (* -1 (/ (fabs x) s)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
| 3 742× | lower-*.f64 |
| 3 730× | lower-*.f32 |
| 3 378× | lower-/.f64 |
| 3 362× | lower-/.f32 |
| 2 958× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 292 |
| 0 | 69 | 247 |
| 1 | 232 | 237 |
| 2 | 1413 | 229 |
| 0 | 8760 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| Outputs |
|---|
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Compiled 134 723 to 7 619 computations (94.3% saved)
34 alts after pruning (30 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 713 | 26 | 3 739 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 718 | 34 | 3 752 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| ▶ | 99.5% | (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| ▶ | 99.6% | (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
| 99.5% | (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| 89.8% | (/.f32 (exp.f32 (/.f32 (/.f32 (neg.f32 (*.f32 x x)) (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 89.8% | (/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 93.8% | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| ▶ | 80.3% | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| 98.5% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) | |
| ✓ | 99.2% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
| ▶ | 93.5% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
| 98.9% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) #s(literal 2 binary32)) s)) | |
| ✓ | 99.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 95.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32)))) #s(literal 2 binary32)) s)) | |
| 81.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))) | |
| 72.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 72.0% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 58.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (*.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))) | |
| ✓ | 93.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| 73.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)) | |
| 93.5% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) | |
| 72.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 2.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) s)) #s(literal -1 binary32)))) | |
| 93.8% | (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 79.8% | (/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) | |
| 93.8% | (/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 99.6% | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))) | |
| 93.5% | (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (/.f32 #s(literal 1 binary32) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s))) | |
| 26.8% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s) #s(literal 1/4 binary32)) s)) | |
| 25.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal -6 binary32) (fabs.f32 x))) (/.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) (fabs.f32 x))) s) #s(literal 1/4 binary32)) s)) | |
| ▶ | 27.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
| ✓ | 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
| 26.2% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32)))) |
Compiled 1 462 to 989 computations (32.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (fabs.f32 x) s) | |
| cost-diff | 0 | (exp.f32 #s(literal -1 binary32)) | |
| cost-diff | 3008 | (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| cost-diff | 3168 | (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) | |
| cost-diff | 64 | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) | |
| cost-diff | 160 | (*.f32 #s(literal 0 binary32) s) | |
| cost-diff | 320 | (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s)) | |
| cost-diff | 3552 | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 (neg.f32 (fabs.f32 x)) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| cost-diff | 64 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) | |
| cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s)) | |
| cost-diff | 0 | (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) | |
| cost-diff | 0 | (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) | |
| cost-diff | 0 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) | |
| cost-diff | 64 | (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) | |
| cost-diff | 0 | (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) | |
| cost-diff | 192 | (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
| 6 218× | lower-fma.f64 |
| 6 218× | lower-fma.f32 |
| 3 048× | lower-*.f64 |
| 3 032× | lower-*.f32 |
| 1 648× | exp-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 494 |
| 0 | 88 | 466 |
| 1 | 149 | 460 |
| 2 | 309 | 452 |
| 3 | 758 | 449 |
| 4 | 1482 | 449 |
| 5 | 2670 | 442 |
| 6 | 4798 | 442 |
| 7 | 6675 | 442 |
| 0 | 8059 | 438 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
#s(literal -2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) |
(+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) |
(/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) |
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) |
(*.f32 #s(literal -1/16 binary32) (*.f32 x x)) |
#s(literal -1/16 binary32) |
(*.f32 x x) |
x |
s |
#s(literal 1/4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s)) |
#s(literal 1 binary32) |
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(literal -2 binary32) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) |
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s)) |
(-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) |
(*.f32 #s(literal 0 binary32) s) |
#s(literal 0 binary32) |
s |
(*.f32 s (fabs.f32 x)) |
(fabs.f32 x) |
x |
(*.f32 s s) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
#s(literal 2 binary32) |
| Outputs |
|---|
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal -2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
#s(literal -2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal -1/16 binary32)) x #s(literal 1/4 binary32)) s)) |
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) |
(/.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal -1/16 binary32)) x #s(literal 1/4 binary32)) s) |
(+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) |
(fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal -1/16 binary32)) x #s(literal 1/4 binary32)) |
(/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) |
(/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) |
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) |
(*.f32 #s(literal -1/16 binary32) (*.f32 x x)) |
(*.f32 (*.f32 x x) #s(literal -1/16 binary32)) |
#s(literal -1/16 binary32) |
(*.f32 x x) |
x |
s |
#s(literal 1/4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
(/.f32 (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s)) |
(/.f32 s (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(literal -2 binary32) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s s)) |
(exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) |
(*.f32 (fabs.f32 x) (neg.f32 s)) |
(*.f32 #s(literal 0 binary32) s) |
#s(literal 0 binary32) |
#s(literal 0 binary32) |
s |
(*.f32 s (fabs.f32 x)) |
(*.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
(*.f32 s s) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 (fma.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (fabs.f32 x)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) |
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (fabs.f32 x)) |
#s(literal 2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| accuracy | 0.0703125 | (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 0.11080673721406784 | (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 10.61343926815475 | (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s)) | |
| accuracy | 18.181169253898055 | #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) | |
| accuracy | 0.0390625 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 0.25748758867328747 | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s)) | |
| accuracy | 18.181169253898055 | #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) | |
| accuracy | 0.03515625 | (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) | |
| accuracy | 1.3448049937529147 | (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) | |
| accuracy | 3.9909716243230084 | (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) | |
| accuracy | 23.216263955929403 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) | |
| accuracy | 0.02734375 | (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) | |
| accuracy | 0.03125 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) | |
| accuracy | 0.03515625 | (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 94.0ms | 256× | 0 | valid |
Compiled 466 to 44 computations (90.6% saved)
ival-div: 22.0ms (32% of total)ival-mult: 22.0ms (32% of total)ival-exp: 7.0ms (10.2% of total)ival-pow: 6.0ms (8.7% of total)ival-add: 4.0ms (5.8% of total)ival-fabs: 3.0ms (4.4% of total)ival-pow2: 3.0ms (4.4% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) (patch (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) #<representation binary32>) () ()) |
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ()) |
#s(alt (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) (patch (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) (patch (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) #<representation binary32>) () ()) |
#s(alt (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) (patch (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s)) (patch (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) #<representation binary32>) () ()) |
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s)) (patch (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 0 binary32) s) (patch (*.f32 #s(literal 0 binary32) s) #<representation binary32>) () ()) |
#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ()) |
#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (exp.f32 #s(literal -1 binary32)) (patch (exp.f32 #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 (fabs.f32 x) s) (patch (/.f32 (fabs.f32 x) s) #<representation binary32>) () ()) |
#s(alt (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (patch (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (patch (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (patch #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (patch (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) #<representation binary32>) () ()) |
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
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#s(alt (exp (* -1 (/ (fabs x) s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (patch (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) #<representation binary32>) () ())) ()) |
#s(alt (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) (taylor -inf x) (#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | x | @ | 0 | ((/ (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (neg (fabs x)) s)) (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/ (/ (* -1/16 (* x x)) s) s) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (neg (fabs x)) s) (/ (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* 0 s) (* s (fabs x))) (* s s)) (* 0 s) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (exp -1) (/ (fabs x) s)) (/ (pow (exp -1) (/ (fabs x) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp -1) (/ (fabs x) s) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (/ (* -1/16 (* x x)) s) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2)) |
| 12.0ms | x | @ | inf | ((/ (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (neg (fabs x)) s)) (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/ (/ (* -1/16 (* x x)) s) s) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (neg (fabs x)) s) (/ (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* 0 s) (* s (fabs x))) (* s s)) (* 0 s) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (exp -1) (/ (fabs x) s)) (/ (pow (exp -1) (/ (fabs x) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp -1) (/ (fabs x) s) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (/ (* -1/16 (* x x)) s) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2)) |
| 11.0ms | x | @ | -inf | ((/ (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (neg (fabs x)) s)) (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/ (/ (* -1/16 (* x x)) s) s) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (neg (fabs x)) s) (/ (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* 0 s) (* s (fabs x))) (* s s)) (* 0 s) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (exp -1) (/ (fabs x) s)) (/ (pow (exp -1) (/ (fabs x) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp -1) (/ (fabs x) s) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (/ (* -1/16 (* x x)) s) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2)) |
| 4.0ms | s | @ | 0 | ((/ (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (neg (fabs x)) s)) (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/ (/ (* -1/16 (* x x)) s) s) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (neg (fabs x)) s) (/ (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* 0 s) (* s (fabs x))) (* s s)) (* 0 s) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (exp -1) (/ (fabs x) s)) (/ (pow (exp -1) (/ (fabs x) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp -1) (/ (fabs x) s) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (/ (* -1/16 (* x x)) s) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2)) |
| 3.0ms | s | @ | inf | ((/ (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (neg (fabs x)) s)) (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/ (/ (* -1/16 (* x x)) s) s) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/ (neg (fabs x)) s) (/ (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (- (* 0 s) (* s (fabs x))) (* s s)) (* 0 s) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (exp -1) (/ (fabs x) s)) (/ (pow (exp -1) (/ (fabs x) s)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (exp -1) (/ (fabs x) s) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (/ (* -1/16 (* x x)) s) (+ 1 (exp (/ (neg (fabs x)) s))) (exp (/ (- (* 0 s) (* s (fabs x))) (* s s))) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2)) |
| 1× | egg-herbie |
| 14 674× | lower-fma.f64 |
| 14 674× | lower-fma.f32 |
| 5 316× | lower-*.f64 |
| 5 316× | lower-*.f32 |
| 4 364× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 8696 |
| 1 | 1056 | 7985 |
| 2 | 3539 | 7188 |
| 0 | 8510 | 6993 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
0 |
0 |
0 |
0 |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
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(exp (* -1 (/ (fabs x) s))) |
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(exp (* -1 (/ (fabs x) s))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
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(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
1/4 |
(+ 1/4 (* 1/4 (/ (fabs x) s))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))) (* -1/4 (/ (fabs x) s))) |
(- (+ 1/4 (* -1 (/ (+ (* 1/16 (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3)))) (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* 4 s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
0 |
0 |
0 |
0 |
(* 2 s) |
(* s (+ 2 (* -1 (/ (fabs x) s)))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
1/4 |
(- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) |
(- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) |
(- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
4 |
(+ 4 (* -4 (/ (fabs x) s))) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
1/4 |
(+ 1/4 (* 1/4 (/ (fabs x) s))) |
(+ 1/4 (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs x) 2) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s))) (* 1/4 (fabs x))) s))) |
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (+ (* -1/16 (/ (* (fabs x) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)))) (+ (* -1/4 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 1/4 (fabs x))) s))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* 4 s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
0 |
0 |
0 |
0 |
(* 2 s) |
(* -1 (* s (- (/ (fabs x) s) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
1/4 |
(- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) |
(- (+ 1/4 (+ (* -1 (/ (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) |
(- (+ 1/4 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/96 (pow (fabs x) 4)) (+ (* 1/16 (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4))))) (+ (* 1/4 (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))))))) s)) (* 1/24 (pow (fabs x) 3))) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
4 |
(+ 4 (* -4 (/ (fabs x) s))) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
| Outputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
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1/4 |
#s(literal 1/4 binary32) |
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2 |
#s(literal 2 binary32) |
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1 |
#s(literal 1 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
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(* -1 (/ (fabs x) s)) |
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#s(literal 1/4 binary32) |
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#s(literal 2 binary32) |
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#s(literal 1/4 binary32) |
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2 |
#s(literal 2 binary32) |
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1 |
#s(literal 1 binary32) |
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4 |
#s(literal 4 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ 1 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(*.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* -1 (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
| 3 906× | lower-/.f64 |
| 3 882× | lower-/.f32 |
| 3 542× | lower-*.f64 |
| 3 526× | lower-*.f32 |
| 2 672× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 310 |
| 0 | 88 | 283 |
| 1 | 298 | 278 |
| 2 | 1774 | 267 |
| 0 | 8587 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s) |
(/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s)) |
(*.f32 #s(literal 0 binary32) s) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(exp.f32 #s(literal -1 binary32)) |
(/.f32 (fabs.f32 x) s) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
(exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
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Compiled 66 702 to 5 617 computations (91.6% saved)
62 alts after pruning (56 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 521 | 40 | 2 561 |
| Fresh | 9 | 16 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 533 | 62 | 2 595 |
| Status | Accuracy | Program |
|---|---|---|
| 79.9% | (/.f32 (pow.f32 (exp.f32 (-.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 2 binary32)) s) | |
| 99.5% | (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| ✓ | 99.5% | (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 93.5% | (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) | |
| ▶ | 99.6% | (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 72.3% | (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (exp.f32 (/.f32 (fabs.f32 x) s))) | |
| 98.9% | (/.f32 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| ✓ | 99.6% | (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
| 82.8% | (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) (/.f32 s (fabs.f32 x))))) s) | |
| 93.5% | (/.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| 77.1% | (/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| 89.8% | (/.f32 (exp.f32 (/.f32 (/.f32 (neg.f32 (*.f32 x x)) (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| ▶ | 89.8% | (/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| 93.8% | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 61.9% | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 80.1% | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 80.3% | (/.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 s) (fabs.f32 x)) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| ✓ | 99.2% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
| ▶ | 93.5% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
| 72.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| ✓ | 99.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 81.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))) | |
| 72.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 58.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (*.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))) | |
| ✓ | 93.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| 73.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)) | |
| 72.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 2.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) s)) #s(literal -1 binary32)))) | |
| 74.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s))))) | |
| 93.8% | (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 79.8% | (/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) | |
| 79.8% | (/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) | |
| 93.8% | (/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 27.7% | (/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) | |
| 99.6% | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))) | |
| 93.5% | (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (/.f32 #s(literal 1 binary32) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s))) | |
| ▶ | 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) | |
| 10.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) | |
| 10.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) | |
| 9.9% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 x (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) | |
| 9.8% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)))) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)))) s)) | |
| ▶ | 23.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
| 27.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) | |
| 22.6% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) x (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) | |
| 7.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))))) | |
| ✓ | 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
| 27.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s)) (/.f32 #s(literal -1 binary32) s))) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) | |
| 6.3% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)))) |
Compiled 2 285 to 1 633 computations (28.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s) | |
| cost-diff | 0 | (/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| cost-diff | 64 | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) | |
| cost-diff | 544 | (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) | |
| cost-diff | 0 | (/.f32 (neg.f32 (fabs.f32 x)) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| cost-diff | 0 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) | |
| cost-diff | 1088 | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))) | |
| cost-diff | 0 | (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) | |
| cost-diff | 0 | (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s) | |
| cost-diff | 0 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| cost-diff | 160 | (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) | |
| cost-diff | 0 | (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) | |
| cost-diff | 0 | (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s) | |
| cost-diff | 0 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) | |
| cost-diff | 64 | (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) | |
| cost-diff | 0 | (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (exp.f32 #s(literal -2 binary32)) | |
| cost-diff | 0 | (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 5 648× | lower-fma.f64 |
| 5 646× | lower-fma.f32 |
| 2 464× | lower-*.f64 |
| 2 448× | lower-*.f32 |
| 1 636× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 568 |
| 0 | 93 | 551 |
| 1 | 164 | 543 |
| 2 | 373 | 532 |
| 3 | 977 | 532 |
| 4 | 2321 | 532 |
| 5 | 3267 | 530 |
| 6 | 4367 | 530 |
| 7 | 5936 | 530 |
| 8 | 7078 | 530 |
| 0 | 8044 | 524 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) |
(exp.f32 #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
#s(literal 1/2 binary32) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) |
(*.f32 (*.f32 x x) #s(literal -1/16 binary32)) |
(*.f32 x x) |
x |
#s(literal -1/16 binary32) |
(*.f32 s s) |
s |
#s(literal 1/4 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s) |
(fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) |
(/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) |
(*.f32 (*.f32 x x) #s(literal -1/16 binary32)) |
(*.f32 x x) |
x |
#s(literal -1/16 binary32) |
s |
#s(literal 1 binary32) |
#s(literal 1/4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))) |
#s(literal 1 binary32) |
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s) |
(/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) |
#s(literal 1 binary32) |
(/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x))) |
(fabs.f32 x) |
x |
(neg.f32 (*.f32 x x)) |
(*.f32 x x) |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
| Outputs |
|---|
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s))) |
(exp.f32 #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
#s(literal 1/2 binary32) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s) |
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (fabs.f32 x)) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/16 binary32) x) #s(literal 1/4 binary32)) s)) |
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s) |
(/.f32 (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/16 binary32) x) #s(literal 1/4 binary32)) s) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) |
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/16 binary32) x) #s(literal 1/4 binary32)) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) |
(/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) |
(*.f32 (*.f32 x x) #s(literal -1/16 binary32)) |
(*.f32 #s(literal -1/16 binary32) (*.f32 x x)) |
(*.f32 x x) |
x |
#s(literal -1/16 binary32) |
(*.f32 s s) |
s |
#s(literal 1/4 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/16 binary32) x) #s(literal 1/4 binary32)) s)) |
(/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s) |
(/.f32 (fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/16 binary32) x) #s(literal 1/4 binary32)) s) |
(fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) |
(fma.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal -1/16 binary32) x) #s(literal 1/4 binary32)) |
(/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) |
(/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) |
(/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) |
(*.f32 (*.f32 x x) #s(literal -1/16 binary32)) |
(*.f32 #s(literal -1/16 binary32) (*.f32 x x)) |
(*.f32 x x) |
x |
#s(literal -1/16 binary32) |
s |
#s(literal 1 binary32) |
#s(literal 1/4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))) |
(*.f32 (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
#s(literal 1 binary32) |
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 x (fabs.f32 x))) (*.f32 (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) |
(pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 x (fabs.f32 x))) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s) |
(*.f32 (/.f32 (neg.f32 x) s) (/.f32 x (fabs.f32 x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) |
(*.f32 (/.f32 x (fabs.f32 x)) (neg.f32 x)) |
#s(literal 1 binary32) |
(/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x))) |
(/.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x)) |
(fabs.f32 x) |
x |
(neg.f32 (*.f32 x x)) |
(*.f32 (neg.f32 x) x) |
(*.f32 x x) |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (fabs.f32 x)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 0.14453125 | (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) | |
| accuracy | 14.237905351224606 | (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x))) | |
| accuracy | 18.181169253898055 | #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) | |
| accuracy | 0.0390625 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| accuracy | 0.25748758867328747 | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))) | |
| accuracy | 18.181169253898055 | #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) | |
| accuracy | 1.3448049937529147 | (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) | |
| accuracy | 3.9909716243230084 | (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) | |
| accuracy | 23.216263955929403 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| accuracy | 31.278332205639654 | (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) | |
| accuracy | 0 | (*.f32 s s) | |
| accuracy | 0.03515625 | (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s) | |
| accuracy | 8.02311309433931 | (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) | |
| accuracy | 23.216263955929403 | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) | |
| accuracy | 0.0390625 | (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| accuracy | 0.0703125 | (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) | |
| accuracy | 0.09636252095572641 | (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) | |
| accuracy | 0.10107850476004981 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 98.0ms | 256× | 0 | valid |
Compiled 519 to 46 computations (91.1% saved)
ival-div: 27.0ms (46% of total)ival-mult: 11.0ms (18.7% of total)ival-exp: 7.0ms (11.9% of total)ival-pow: 4.0ms (6.8% of total)ival-add: 3.0ms (5.1% of total)ival-neg: 2.0ms (3.4% of total)ival-pow2: 2.0ms (3.4% of total)ival-fabs: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (patch (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) #<representation binary32>) () ()) |
#s(alt (exp.f32 #s(literal -2 binary32)) (patch (exp.f32 #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) (patch (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) (patch (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s) (patch (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (patch (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) (patch (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s) (patch (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s) #<representation binary32>) () ()) |
#s(alt (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) (patch (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) (patch (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (patch (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (neg.f32 (fabs.f32 x)) s) (patch (/.f32 (neg.f32 (fabs.f32 x)) s) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) #<representation binary32>) () ()) |
#s(alt (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (patch (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) (patch (/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s) (patch (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s) #<representation binary32>) () ()) |
#s(alt (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) (patch (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #<representation binary32>) () ()) |
#s(alt (*.f32 s s) (patch (*.f32 s s) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) (patch (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (patch #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x))) (patch (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) (patch (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (patch (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (patch (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (patch (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (fabs x) s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (patch (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) (patch (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) (patch (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) (patch (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ (fabs x) s)) (taylor 0 s) (#s(alt (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) (patch (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1/16 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) (patch (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) (patch (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) (patch (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) (patch (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) (taylor 0 s) (#s(alt #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) (patch #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) #<representation binary32>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | s | @ | inf | ((/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (exp -2) (* (/ (fabs x) s) 1/2)) (exp -2) (* (/ (fabs x) s) 1/2) (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (* (* x x) -1/16) (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) s) (/ (/ (* (* x x) -1/16) s) s) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s))))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ 1 (/ (fabs x) (neg (* x x)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ 1 (/ (fabs x) (neg (* x x)))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (* (* x x) -1/16) (* s s)) (* s s) (/ (* (* x x) -1/16) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (fabs x) (neg (* x x)))) |
| 21.0ms | x | @ | 0 | ((/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (exp -2) (* (/ (fabs x) s) 1/2)) (exp -2) (* (/ (fabs x) s) 1/2) (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (* (* x x) -1/16) (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) s) (/ (/ (* (* x x) -1/16) s) s) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s))))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ 1 (/ (fabs x) (neg (* x x)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ 1 (/ (fabs x) (neg (* x x)))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (* (* x x) -1/16) (* s s)) (* s s) (/ (* (* x x) -1/16) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (fabs x) (neg (* x x)))) |
| 12.0ms | x | @ | -inf | ((/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (exp -2) (* (/ (fabs x) s) 1/2)) (exp -2) (* (/ (fabs x) s) 1/2) (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (* (* x x) -1/16) (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) s) (/ (/ (* (* x x) -1/16) s) s) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s))))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ 1 (/ (fabs x) (neg (* x x)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ 1 (/ (fabs x) (neg (* x x)))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (* (* x x) -1/16) (* s s)) (* s s) (/ (* (* x x) -1/16) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (fabs x) (neg (* x x)))) |
| 12.0ms | x | @ | inf | ((/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (exp -2) (* (/ (fabs x) s) 1/2)) (exp -2) (* (/ (fabs x) s) 1/2) (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (* (* x x) -1/16) (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) s) (/ (/ (* (* x x) -1/16) s) s) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s))))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ 1 (/ (fabs x) (neg (* x x)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ 1 (/ (fabs x) (neg (* x x)))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (* (* x x) -1/16) (* s s)) (* s s) (/ (* (* x x) -1/16) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (fabs x) (neg (* x x)))) |
| 4.0ms | s | @ | 0 | ((/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (pow (exp -2) (* (/ (fabs x) s) 1/2)) (exp -2) (* (/ (fabs x) s) 1/2) (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (* (* x x) -1/16) (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ (* (/ (/ (* (* x x) -1/16) s) s) 1) 1/4) s) (/ (/ (* (* x x) -1/16) s) s) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))))) (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (/ 1 (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s))))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ 1 (/ (fabs x) (neg (* x x)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ 1 (/ (fabs x) (neg (* x x)))) s) (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (/ (* (* x x) -1/16) (* s s)) (* s s) (/ (* (* x x) -1/16) s) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (fabs x) (neg (* x x)))) |
| 1× | egg-herbie |
| 9 524× | lower-fma.f64 |
| 9 524× | lower-fma.f32 |
| 4 630× | lower-*.f64 |
| 4 630× | lower-*.f32 |
| 4 010× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 8416 |
| 1 | 1238 | 7913 |
| 2 | 4541 | 7375 |
| 0 | 8700 | 7174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* 4 s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* 2 s) |
(* s (+ 2 (* -1 (/ (fabs x) s)))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
(/ 1/4 s) |
(/ (- (+ 1/4 (* -1/4 (/ (pow x 2) (* s (fabs x))))) (* -1/4 (/ (fabs x) s))) s) |
(/ (- (+ 1/4 (+ (* -1/4 (/ (pow x 2) (* s (fabs x)))) (* 1/8 (/ (pow x 4) (* (pow s 2) (pow (fabs x) 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 (/ (pow x 2) (fabs x))) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s) |
(/ (- (+ 1/4 (+ (* -1/4 (/ (pow x 2) (* s (fabs x)))) (+ (* -1/24 (/ (pow x 6) (* (pow s 3) (pow (fabs x) 3)))) (* 1/8 (/ (pow x 4) (* (pow s 2) (pow (fabs x) 2))))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 (/ (pow x 2) (fabs x))) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (/ (pow x 4) (pow (fabs x) 2))) (+ (* -1 (* (fabs x) (- (* -1/4 (/ (pow x 2) (fabs x))) (* -1/4 (fabs x))))) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/4 (/ (pow x 2) (fabs x))) (* -1/4 (fabs x)))) (pow s 3))))))))) s) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
4 |
(+ 4 (* -4 (/ (fabs x) s))) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* 4 s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))) |
(/ 1/4 s) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* 2 s) |
(* -1 (* s (- (/ (fabs x) s) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/4 (/ (pow x 2) (* s (fabs x)))) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ (pow x 2) (fabs x))) (* 1/4 (fabs x)))) (* 1/8 (/ (pow x 4) (* s (pow (fabs x) 2))))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* 1/4 (/ (pow x 2) (fabs x))) (* 1/4 (fabs x)))) s))) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ (pow x 2) (fabs x))) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ (pow x 4) (pow (fabs x) 2))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 (/ (pow x 2) (fabs x))) (* 1/4 (fabs x))))))) (* 1/24 (/ (pow x 6) (* s (pow (fabs x) 3))))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/4 (/ (pow x 2) (fabs x))) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/8 (/ (pow x 4) (pow (fabs x) 2))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 (/ (pow x 2) (fabs x))) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s)) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
4 |
(+ 4 (* -4 (/ (fabs x) s))) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))) |
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(+ (* -1 (/ (pow x 2) (* (pow s 2) (* (fabs x) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
(+ (* (pow x 2) (- (* 1/2 (/ (pow x 2) (* (pow s 3) (* (pow (fabs x) 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* (pow s 2) (* (fabs x) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/6 (/ (pow x 2) (* (pow s 4) (* (pow (fabs x) 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (* 1/2 (/ 1 (* (pow s 3) (* (pow (fabs x) 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))))) (/ 1 (* (pow s 2) (* (fabs x) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* 1/2 (/ (fabs x) s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (pow x 2)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* -1 (/ (pow x 2) (fabs x))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (pow x 2) (* s (fabs x))))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(* -1 (/ (pow x 2) (* s (fabs x)))) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(* -1/16 (/ (pow x 2) s)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
(* -1 (/ (fabs x) (pow x 2))) |
| Outputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(* 1/2 (/ (fabs x) s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s)) |
(* 1/2 (/ (fabs x) s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s)) |
(* 1/2 (/ (fabs x) s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s)) |
(* 1/2 (/ (fabs x) s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(*.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (pow.f32 s #s(literal 3 binary32))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
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#s(literal 1/4 binary32) |
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1 |
#s(literal 1 binary32) |
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4 |
#s(literal 4 binary32) |
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(pow s 2) |
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2 |
#s(literal 2 binary32) |
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#s(literal 4 binary32) |
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2 |
#s(literal 2 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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(*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(* -1/16 (/ (pow x 2) s)) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(* -1 (/ (fabs x) (pow x 2))) |
(/.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x)) |
(* -1 (/ (fabs x) (pow x 2))) |
(/.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x)) |
(* -1 (/ (fabs x) (pow x 2))) |
(/.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x)) |
(* -1 (/ (fabs x) (pow x 2))) |
(/.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x)) |
| 4 692× | lower-/.f64 |
| 4 662× | lower-/.f32 |
| 4 568× | lower-*.f64 |
| 4 552× | lower-*.f32 |
| 2 634× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 366 |
| 0 | 93 | 352 |
| 1 | 328 | 329 |
| 2 | 1955 | 311 |
| 0 | 8548 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) |
(exp.f32 #s(literal -2 binary32)) |
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32)) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s) |
(*.f32 (*.f32 x x) #s(literal -1/16 binary32)) |
(fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s) |
(/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) |
(*.f32 s s) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
(/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x))) |
| Outputs |
|---|
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Compiled 49 939 to 4 878 computations (90.2% saved)
146 alts after pruning (137 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 921 | 102 | 2 023 |
| Fresh | 16 | 35 | 51 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 939 | 146 | 2 085 |
| Status | Accuracy | Program |
|---|---|---|
| 79.9% | (/.f32 (pow.f32 (exp.f32 (-.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 2 binary32)) s) | |
| 99.5% | (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| 99.5% | (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| ✓ | 99.5% | (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 93.5% | (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) | |
| ✓ | 99.6% | (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 99.6% | (/.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) | |
| 98.9% | (/.f32 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| ✓ | 99.6% | (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
| 93.1% | (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) | |
| 93.5% | (/.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| 77.1% | (/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s) | |
| 68.8% | (/.f32 (exp.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (neg.f32 s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 90.1% | (/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 93.5% | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) | |
| 93.8% | (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| ✓ | 99.2% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
| ✓ | 99.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| 72.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 58.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (*.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))) | |
| ✓ | 93.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| 73.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)) | |
| 72.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 2.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) s)) #s(literal -1 binary32)))) | |
| 93.5% | (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) | |
| 93.8% | (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 79.8% | (/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) | |
| 79.8% | (/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) | |
| 89.8% | (/.f32 (exp.f32 (*.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 93.8% | (/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) | |
| 27.7% | (/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) | |
| 99.6% | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))) | |
| 93.5% | (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (/.f32 #s(literal 1 binary32) s)) | |
| 27.7% | #s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 x (fabs.f32 x))) (fabs.f32 x)) s) #s(literal -1/4 binary32)) (neg.f32 s))) | |
| 27.7% | #s(approx (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 x (fabs.f32 x))) (fabs.f32 x)) s) #s(literal 1/4 binary32)) s)) | |
| 9.8% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) s)) | |
| ✓ | 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) x) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/16 binary32) x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (neg.f32 s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (neg.f32 (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (neg.f32 s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (neg.f32 s)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (*.f32 x x)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32)) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) (neg.f32 s)) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32))) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (*.f32 (neg.f32 s) s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 s) s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 10.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) | |
| 9.9% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) (*.f32 x x) #s(literal 1/4 binary32)) s)) | |
| 10.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) | |
| 10.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(approx (/ (/ (* (* x x) -1/16) s) s) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) | |
| 10.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32)))) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)))) #s(literal 1/4 binary32)) s)) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1/4 binary32)) s)) | |
| ✓ | 23.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
| 27.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) | |
| 7.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s)) | |
| 61.5% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s)) s)) | |
| 7.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) | |
| ✓ | 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
| 27.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s)) (/.f32 #s(literal -1 binary32) s))) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) | |
| 6.3% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)))) | |
| 27.7% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
Compiled 5 951 to 2 795 computations (53% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
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(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (neg.f32 s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (/.f32 (neg.f32 (*.f32 x x)) (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (*.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32)))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) |
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 (-.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 2 binary32)) s) |
(exp.f32 (*.f32 (-.f32 (/.f32 (fabs.f32 x) s) (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #s(literal -1 binary32))) |
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s))) #s(literal -2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) (/.f32 s (fabs.f32 x))))) s) |
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -2 binary32)))) (/.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (*.f32 (pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (neg.f32 (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) s)) #s(literal -1 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (*.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (expm1.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))) |
| Outputs |
|---|
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
5 calls:
| 353.0ms | (neg.f32 (fabs.f32 x)) |
| 340.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 117.0ms | (fabs.f32 x) |
| 88.0ms | x |
| 71.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | s |
| 99.6% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 99.6% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.6% | 1 | (fabs.f32 x) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) x (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(approx (/ (/ (* (* x x) -1/16) s) s) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) s)) |
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(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) |
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 (-.f32 (neg.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 2 binary32)) s) |
(exp.f32 (*.f32 (-.f32 (/.f32 (fabs.f32 x) s) (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32)) s))) #s(literal -1 binary32))) |
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 #s(literal -4 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
5 calls:
| 47.0ms | (fabs.f32 x) |
| 45.0ms | s |
| 44.0ms | x |
| 43.0ms | (neg.f32 (fabs.f32 x)) |
| 39.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | s |
| 99.6% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 99.6% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.6% | 1 | (fabs.f32 x) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) x (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(approx (/ (/ (* (* x x) -1/16) s) s) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (*.f32 x x)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/16 binary32) x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) x) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal -6 binary32) (fabs.f32 x))) (/.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) (fabs.f32 x))) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 x (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) (*.f32 x x) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32)))) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (*.f32 (neg.f32 s) (fabs.f32 x)) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (neg.f32 s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (/.f32 (neg.f32 (*.f32 x x)) (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (*.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32)))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal -2 binary32) (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) |
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 (fabs.f32 x)) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)))) s) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32)))) #s(literal 2 binary32)) s)) |
5 calls:
| 46.0ms | (neg.f32 (fabs.f32 x)) |
| 45.0ms | (fabs.f32 x) |
| 44.0ms | x |
| 43.0ms | s |
| 36.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | x |
| 95.4% | 1 | s |
| 95.4% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 95.4% | 1 | (neg.f32 (fabs.f32 x)) |
| 95.4% | 1 | (fabs.f32 x) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
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(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s)) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (neg.f32 s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (/.f32 (neg.f32 (*.f32 x x)) (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (*.f32 (/.f32 (*.f32 x x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
5 calls:
| 42.0ms | x |
| 42.0ms | (neg.f32 (fabs.f32 x)) |
| 41.0ms | (fabs.f32 x) |
| 39.0ms | s |
| 32.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 1 | x |
| 93.8% | 1 | s |
| 93.8% | 1 | (fabs.f32 x) |
| 93.8% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 93.8% | 1 | (neg.f32 (fabs.f32 x)) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) x (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(approx (/ (/ (* (* x x) -1/16) s) s) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (*.f32 x x)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/16 binary32) x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) x) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s)) (/.f32 #s(literal -1 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) (neg.f32 s)) #s(literal 1/4 binary32)) s)) |
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 x (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) (*.f32 x x) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32)))) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
5 calls:
| 39.0ms | x |
| 38.0ms | (neg.f32 (fabs.f32 x)) |
| 37.0ms | (fabs.f32 x) |
| 37.0ms | s |
| 31.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 1 | x |
| 93.8% | 1 | s |
| 93.8% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 93.8% | 1 | (fabs.f32 x) |
| 93.8% | 1 | (neg.f32 (fabs.f32 x)) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) x (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(approx (/ (/ (* (* x x) -1/16) s) s) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32)) #s(literal 1/4 binary32)) s)) |
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal -6 binary32) (fabs.f32 x))) (/.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) (fabs.f32 x))) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 x (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) (*.f32 x x) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal 4 binary32))) #s(literal -1 binary32)))) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) #s(literal -2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s s) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
5 calls:
| 39.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 38.0ms | (neg.f32 (fabs.f32 x)) |
| 38.0ms | s |
| 38.0ms | (fabs.f32 x) |
| 37.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | x |
| 93.5% | 1 | s |
| 93.5% | 1 | (fabs.f32 x) |
| 93.5% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 93.5% | 1 | (neg.f32 (fabs.f32 x)) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) x (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (neg.f32 s)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 s) s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal -6 binary32) (fabs.f32 x))) (/.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) (fabs.f32 x))) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 x (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) (*.f32 x x) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s)) (*.f32 (neg.f32 s) (-.f32 #s(literal -4 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) (fma.f32 (/.f32 #s(literal 3 binary32) s) (/.f32 (*.f32 x x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)))) s)) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
5 calls:
| 36.0ms | s |
| 35.0ms | (fabs.f32 x) |
| 34.0ms | (neg.f32 (fabs.f32 x)) |
| 34.0ms | x |
| 29.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | x |
| 93.5% | 1 | s |
| 93.5% | 1 | (fabs.f32 x) |
| 93.5% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 93.5% | 1 | (neg.f32 (fabs.f32 x)) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (neg.f32 s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (neg.f32 s)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 s) s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal -6 binary32) (fabs.f32 x))) (/.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) (fabs.f32 x))) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 x (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) (*.f32 x x) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) #s(literal 4 binary32)) s)) |
(/.f32 (*.f32 #s(approx (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) #s(literal 1/4 binary32)) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 s (fabs.f32 x))) (*.f32 s s))) (*.f32 (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 (*.f32 x x)))) s)) (*.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
5 calls:
| 34.0ms | (fabs.f32 x) |
| 34.0ms | s |
| 33.0ms | (neg.f32 (fabs.f32 x)) |
| 32.0ms | x |
| 28.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | x |
| 93.5% | 1 | s |
| 93.5% | 1 | (fabs.f32 x) |
| 93.5% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 93.5% | 1 | (neg.f32 (fabs.f32 x)) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
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#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1 binary32)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (neg.f32 s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 s s))) (*.f32 x x))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (neg.f32 s)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (neg.f32 s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 s) s) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (/ 1 (/ (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) s))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (*.f32 x x) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/4 binary32)) (neg.f32 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* (- 1 (exp (* (/ (fabs x) s) -2))) (/ s (- 1 (exp (/ (neg (fabs x)) s))))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (/.f32 #s(literal -6 binary32) (fabs.f32 x))) (/.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) (fabs.f32 x))) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 (*.f32 x x) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32)))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) (*.f32 x (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) (*.f32 x x) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -2 binary32))) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 s #s(literal -2 binary32)) #s(literal 1/4 binary32)) s)) |
| Outputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
5 calls:
| 56.0ms | (neg.f32 (fabs.f32 x)) |
| 46.0ms | s |
| 35.0ms | x |
| 31.0ms | (fabs.f32 x) |
| 29.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 1 | x |
| 56.7% | 2 | s |
| 53.5% | 1 | (neg.f32 (fabs.f32 x)) |
| 53.5% | 1 | (fabs.f32 x) |
| 60.5% | 2 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) x) x (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(approx (/ (/ (* (* x x) -1/16) s) s) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 x x) s)) (/.f32 #s(literal -1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 x x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 #s(literal -1/16 binary32) s) #s(literal 1 binary32)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (*.f32 x (/.f32 #s(literal -1/16 binary32) s))) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 (*.f32 #s(literal -1/16 binary32) x) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal -1/16 binary32) s) (*.f32 x x)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x (*.f32 #s(literal -1/16 binary32) x)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) x) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (*.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) s) s)) (/.f32 #s(literal -1 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (/.f32 #s(literal 1 binary32) (neg.f32 s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (neg.f32 s)) s) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 x (fabs.f32 x))) (fabs.f32 x)) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1 binary32))) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)))) (neg.f32 (neg.f32 (*.f32 (neg.f32 s) s)))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/16 binary32))) (neg.f32 s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) s) (neg.f32 (neg.f32 s))) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (/ 1 (/ (fabs x) (neg (* x x)))) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 x (/.f32 x (fabs.f32 x))) (fabs.f32 x)) s) #s(literal -1/4 binary32)) (neg.f32 s))) |
| Outputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s)) |
5 calls:
| 18.0ms | x |
| 17.0ms | s |
| 17.0ms | (neg.f32 (fabs.f32 x)) |
| 17.0ms | (fabs.f32 x) |
| 14.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.7% | 1 | (neg.f32 (fabs.f32 x)) |
| 27.7% | 1 | x |
| 27.7% | 1 | (fabs.f32 x) |
| 27.7% | 1 | s |
| 31.2% | 2 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 33 to 22 computations (33.3% saved)
Total -7.9b remaining (-34%)
Threshold costs -7.9b (-34%)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/16 binary32)) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal -1/16 binary32) s) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (pow (exp -2) (* (/ (fabs x) s) 1/2)) (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) 2) s)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 #s(approx (* (pow (+ 1 (exp (/ (neg (fabs x)) s))) -2) (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) #s(literal 1 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (* (* x x) -1/16) (* s s)) 1/4) s) (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (+ (/ (/ (* -1/16 (* x x)) s) s) 1/4) s) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) x) s) (/.f32 x s) #s(literal -1/4 binary32)) (neg.f32 s)))) |
| Outputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
1 calls:
| 4.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.7% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 26 to 11 computations (57.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.940808296992154e-16 | 1.091741612749015e-14 |
Compiled 29 to 16 computations (44.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.940808296992154e-16 |
Compiled 29 to 16 computations (44.8% saved)
| 1× | egg-herbie |
| 38× | *-commutative-binary32-*.f32 |
| 18× | +-commutative-binary32-+.f32 |
| 10× | sub-neg-binary32-neg.f32-+.f32--.f32 |
| 6× | neg-mul-1-binary32-*.f32-neg.f32 |
| 6× | neg-sub0-binary32--.f32-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 513 |
| 1 | 128 | 513 |
| 2 | 137 | 513 |
| 3 | 142 | 513 |
| 4 | 144 | 513 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32)))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 9444733/18889465931478580854784 binary32)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s)) s)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s))) |
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
| Outputs |
|---|
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32)))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 #s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32)) (fabs.f32 x)) s) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (fabs.f32 x))) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s (fabs.f32 x))) s) (*.f32 s (/.f32 s (fabs.f32 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 (/.f32 s (fabs.f32 x)) #s(literal 0 binary32)) s) (*.f32 (/.f32 s (fabs.f32 x)) s))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 9444733/18889465931478580854784 binary32)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) s) s)) s)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s))) |
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) s) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)))) #s(literal 9444733/18889465931478580854784 binary32)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) s) s)) s)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 #s(literal -1/16 binary32) x)) s) #s(literal 1/4 binary32)) s))) |
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) #s(literal 0 binary32)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) x) (/.f32 x s)) s) #s(literal 1/4 binary32)) s))) |
(if (<=.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) s) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)))) #s(literal 0 binary32)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ (/ (* (* x x) -1/16) (* s s)) 1/4) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal -1/16 binary32))) s)) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 x s) (*.f32 #s(literal -1/16 binary32) x)) s) #s(literal 1/4 binary32)) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
| 26 522× | lower-fma.f64 |
| 26 522× | lower-fma.f32 |
| 9 524× | lower-fma.f64 |
| 9 524× | lower-fma.f32 |
| 8 776× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 2020 |
| 1 | 701 | 1883 |
| 2 | 2299 | 1718 |
| 0 | 9072 | 1661 |
| 0 | 412 | 8416 |
| 1 | 1238 | 7913 |
| 2 | 4541 | 7375 |
| 0 | 8700 | 7174 |
| 0 | 41 | 292 |
| 0 | 69 | 247 |
| 1 | 232 | 237 |
| 2 | 1413 | 229 |
| 0 | 8760 | 228 |
| 0 | 11 | 74 |
| 0 | 19 | 74 |
| 1 | 74 | 60 |
| 2 | 473 | 59 |
| 3 | 5277 | 58 |
| 0 | 8229 | 58 |
| 0 | 624 | 9058 |
| 1 | 2044 | 8284 |
| 2 | 7301 | 8212 |
| 0 | 8119 | 7947 |
| 0 | 52 | 310 |
| 0 | 88 | 283 |
| 1 | 298 | 278 |
| 2 | 1774 | 267 |
| 0 | 8587 | 260 |
| 0 | 54 | 366 |
| 0 | 93 | 352 |
| 1 | 328 | 329 |
| 2 | 1955 | 311 |
| 0 | 8548 | 300 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 808 to 382 computations (52.7% saved)
(abs x)
Compiled 980 to 484 computations (50.6% saved)
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