
Time bar (total: 12.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 1.2% | 0% | 9 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 1.2% | 0% | 10 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 1.9% | 0% | 11 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 1.9% | 0% | 12 |
Compiled 31 to 21 computations (32.3% saved)
| 1.1s | 5 979× | 0 | valid |
| 1.0s | 2 276× | 1 | valid |
| 188.0ms | 936× | 0 | exit |
| 2.0ms | 13× | 1 | exit |
| 0.0ms | 1× | 2 | valid |
ival-exp: 452.0ms (23.3% of total)ival-add: 426.0ms (21.9% of total)ival-mult: 302.0ms (15.5% of total)ival-div: 301.0ms (15.5% of total)ival-sub: 224.0ms (11.5% of total)ival-neg: 119.0ms (6.1% of total)adjust: 98.0ms (5% of total)exact: 10.0ms (0.5% of total)ival-true: 7.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 6 | (-9.74206946086365e-146 -1.5782412572949084e-5) | 1 | (-1.044311560146444e-34 -0.015407192165865875) | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 1 | 1 | (162.43943347333482 7.818994118212094e-166) | 1 | (-3.431958675041525e-278 -2.6089400147127877e+279) | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| 1 | 1 | (162.43943347333482 7.818994118212094e-166) | 1 | (-3.431958675041525e-278 -2.6089400147127877e+279) | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | cancellation | 66 | 1 |
exp.f64 | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) | sensitivity | 1 | 2 |
exp.f64 | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | sensitivity | 1 | 2 |
-.f64 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | overflow | 60 | |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) | overflow | 39 | |
| ↳ | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) | overflow | 39 | |
| ↳ | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | overflow | 60 | |
| ↳ | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) | overflow | 39 | |
| ↳ | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) | overflow | 53 | |
| ↳ | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) | overflow | 53 | |
| ↳ | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | overflow | 39 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 61 | 1 |
| - | 6 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 61 | 1 | 0 |
| - | 6 | 1 | 187 |
| number | freq |
|---|---|
| 0 | 189 |
| 1 | 66 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 388× | 0 | valid |
| 43.0ms | 124× | 1 | valid |
Compiled 317 to 61 computations (80.8% saved)
ival-exp: 18.0ms (25.7% of total)ival-mult: 14.0ms (20% of total)ival-div: 13.0ms (18.5% of total)ival-sub: 8.0ms (11.4% of total)ival-add: 6.0ms (8.6% of total)adjust: 5.0ms (7.1% of total)ival-neg: 5.0ms (7.1% of total)ival-true: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 11 102× | lower-fma.f64 |
| 11 102× | lower-fma.f32 |
| 2 706× | lower-*.f32 |
| 2 698× | lower-*.f64 |
| 1 598× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 155 |
| 1 | 168 | 138 |
| 2 | 524 | 135 |
| 3 | 1740 | 135 |
| 4 | 4682 | 133 |
| 0 | 19 | 29 |
| 0 | 34 | 29 |
| 1 | 70 | 29 |
| 2 | 169 | 27 |
| 3 | 513 | 27 |
| 4 | 1130 | 27 |
| 5 | 3343 | 25 |
| 6 | 7591 | 25 |
| 0 | 8123 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(abs eps)
Compiled 31 to 19 computations (38.7% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.9% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 31 to 19 computations (38.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| cost-diff | 128 | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | |
| cost-diff | 704 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 11 102× | lower-fma.f64 |
| 11 102× | lower-fma.f32 |
| 2 706× | lower-*.f32 |
| 2 698× | lower-*.f64 |
| 1 598× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 141 |
| 0 | 34 | 141 |
| 1 | 70 | 141 |
| 2 | 169 | 131 |
| 3 | 513 | 131 |
| 4 | 1130 | 131 |
| 5 | 3343 | 129 |
| 6 | 7591 | 129 |
| 0 | 8123 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(fma.f64 x eps x) |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.017670163890847707 | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) | |
| accuracy | 0.020036261784941275 | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | |
| accuracy | 0.0234375 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| accuracy | 14.80273785064572 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 27.0ms | 194× | 0 | valid |
| 24.0ms | 62× | 1 | valid |
Compiled 143 to 21 computations (85.3% saved)
ival-mult: 9.0ms (25.8% of total)ival-exp: 8.0ms (22.9% of total)ival-div: 6.0ms (17.2% of total)ival-sub: 4.0ms (11.5% of total)ival-add: 3.0ms (8.6% of total)ival-neg: 3.0ms (8.6% of total)adjust: 2.0ms (5.7% 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 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (taylor 0 eps) (#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (taylor 0 eps) (#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (taylor 0 eps) (#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor 0 eps) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* eps x) x) (taylor 0 eps) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* eps x) x) (taylor 0 eps) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* eps x) x) (taylor 0 eps) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 eps) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* eps x)) (taylor 0 eps) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* eps x)) (taylor 0 eps) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* eps x)) (taylor 0 eps) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (neg x)) (* eps (* x (exp (neg x))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) (taylor inf eps) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) (taylor inf eps) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 eps))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 eps))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 eps)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 eps)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 eps)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 eps)) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x)))) |
| 4.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x)))) |
| 2.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x)))) |
| 2.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x)))) |
| 2.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x)))) |
| 1× | egg-herbie |
| 13 388× | lower-fma.f64 |
| 13 388× | lower-fma.f32 |
| 4 374× | lower-*.f64 |
| 4 374× | lower-*.f32 |
| 3 656× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 2821 |
| 1 | 900 | 2444 |
| 2 | 3066 | 2190 |
| 0 | 8268 | 2065 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(* -1 x) |
(- (* eps x) x) |
(- (* eps x) x) |
(- (* eps x) x) |
x |
(+ x (* eps x)) |
(+ x (* eps x)) |
(+ x (* eps x)) |
(exp (neg x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(exp (neg x)) |
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(* eps x) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* eps (- (* -1 (/ x eps)) (* -1 x))) |
(* eps x) |
(* eps (+ x (/ x eps))) |
(* eps (+ x (/ x eps))) |
(* eps (+ x (/ x eps))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(* eps x) |
(* -1 (* eps (- (/ x eps) x))) |
(* -1 (* eps (- (/ x eps) x))) |
(* -1 (* eps (- (/ x eps) x))) |
(* eps x) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
1 |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(exp (- (* eps x) x)) |
(exp (- (* eps x) x)) |
(exp (- (* eps x) x)) |
(exp (- (* eps x) x)) |
(exp (neg (+ x (* eps x)))) |
(exp (neg (+ x (* eps x)))) |
(exp (neg (+ x (* eps x)))) |
(exp (neg (+ x (* eps x)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
| Outputs |
|---|
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))) eps) eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))))) (*.f64 eps eps) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))) eps) eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))) eps) eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(* -1 x) |
(neg.f64 x) |
(- (* eps x) x) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(- (* eps x) x) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(- (* eps x) x) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
x |
(+ x (* eps x)) |
(fma.f64 eps x x) |
(+ x (* eps x)) |
(fma.f64 eps x x) |
(+ x (* eps x)) |
(fma.f64 eps x x) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (neg x)) (* eps (* x (exp (neg x))))) |
(*.f64 (fma.f64 eps x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x x) x)) eps (exp.f64 (neg.f64 x))) |
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) |
(fma.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) eps) eps (*.f64 (fma.f64 eps x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))) |
(*.f64 (fma.f64 (neg.f64 eps) x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps x) x)) x)) eps (exp.f64 (neg.f64 x))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
(fma.f64 (fma.f64 (neg.f64 eps) x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (*.f64 eps eps))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
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2 |
#s(literal 2 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
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(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(exp (- (* eps x) x)) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (- (* eps x) x)) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (- (* eps x) x)) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (- (* eps x) x)) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (+ x (* eps x)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (+ x (* eps x)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (+ x (* eps x)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (+ x (* eps x)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
| 4 830× | lower-fma.f64 |
| 4 830× | lower-fma.f32 |
| 3 930× | lower-/.f32 |
| 3 926× | lower-/.f64 |
| 3 926× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 81 |
| 0 | 34 | 81 |
| 1 | 131 | 77 |
| 2 | 932 | 74 |
| 0 | 8931 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (fma.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))))) |
(*.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/4 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/4 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) eps)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 eps))) |
(fma.f64 (neg.f64 eps) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 eps) x))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 eps)))) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 (*.f64 (neg.f64 eps) x))) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 (*.f64 x (neg.f64 eps)))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 eps x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal -1 binary64))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 x (neg.f64 eps)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x eps)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 eps) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(+.f64 (*.f64 (neg.f64 eps) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 eps) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 eps)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 eps))) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 eps) x) #s(literal -1 binary64))) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (neg.f64 eps)) #s(literal -1 binary64))) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x eps)) |
(+.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 eps) x))) |
(+.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 eps)))) |
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 eps) x))) |
(+.f64 (neg.f64 x) (neg.f64 (*.f64 x (neg.f64 eps)))) |
(+.f64 (neg.f64 x) (*.f64 eps x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)))) (/.f64 x (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) eps))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (/.f64 #s(literal -1 binary64) (-.f64 eps #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1 binary64) (-.f64 eps #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 eps #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x eps x)) |
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (-.f64 (*.f64 eps x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 x (*.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (*.f64 eps x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (*.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 x eps x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) x) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 x)) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))))) |
(fma.f64 x eps x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 eps x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps)) |
(fma.f64 eps x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x eps)) |
(+.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 x eps) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 x eps x)) |
(+.f64 x (*.f64 eps x)) |
(+.f64 x (*.f64 x eps)) |
(*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 eps) x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))) |
(*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) eps)) |
(pow.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64)))) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x eps x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x eps x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) (*.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) |
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) x) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) |
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (*.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 x)) |
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (fma.f64 x eps x))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
(neg.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps))) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (fma.f64 x eps x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64)))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
Compiled 28 863 to 2 162 computations (92.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 10 | 563 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 554 | 10 | 564 |
| Status | Accuracy | Program |
|---|---|---|
| 18.6% | (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) | |
| ▶ | 37.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| 57.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 39.2% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 42.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) | |
| 72.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) | |
| ▶ | 98.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| ▶ | 56.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| ▶ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 562 to 298 computations (47% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) | |
| cost-diff | 576 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | |
| cost-diff | 320 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) | |
| cost-diff | 384 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (exp.f64 (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 512 | (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) | |
| cost-diff | 0 | (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| 14 340× | lower-fma.f32 |
| 14 338× | lower-fma.f64 |
| 3 390× | lower-*.f32 |
| 3 368× | lower-*.f64 |
| 1 678× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 515 |
| 0 | 97 | 511 |
| 1 | 171 | 501 |
| 2 | 383 | 488 |
| 3 | 983 | 480 |
| 4 | 2244 | 480 |
| 5 | 5833 | 475 |
| 0 | 8072 | 459 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
x |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(+.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
x |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(fma.f64 x eps (neg.f64 x)) |
(-.f64 eps #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) eps) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) eps) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) eps) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(fma.f64 x eps x) |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) eps))) (exp.f64 (fma.f64 x eps (neg.f64 x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(fma.f64 x eps (neg.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | |
| accuracy | 0.020036261784941275 | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | |
| accuracy | 14.80273785064572 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) | |
| accuracy | 33.66888912588775 | #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) | |
| accuracy | 0.017670163890847707 | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) | |
| accuracy | 0.0234375 | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | |
| accuracy | 14.80273785064572 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | |
| accuracy | 37.935979169100364 | #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0.01171875 | (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) | |
| accuracy | 0.01953125 | (+.f64 (+.f64 x #s(literal 2 binary64)) x) | |
| accuracy | 27.79898042497321 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| accuracy | 37.75626420206204 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) | |
| accuracy | 0.017670163890847707 | (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) | |
| accuracy | 0.020036261784941275 | (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) | |
| accuracy | 0.0234375 | (*.f64 (-.f64 #s(literal -1 binary64) eps) x) | |
| accuracy | 1.2561653877352816 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| 105.0ms | 194× | 0 | valid |
| 39.0ms | 62× | 1 | valid |
Compiled 452 to 38 computations (91.6% saved)
ival-sub: 32.0ms (37.1% of total)ival-mult: 15.0ms (17.4% of total)ival-exp: 13.0ms (15.1% of total)ival-add: 8.0ms (9.3% of total)ival-div: 6.0ms (7% of total)ival-neg: 6.0ms (7% of total)adjust: 5.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (patch (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (patch (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) (patch (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (patch (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (patch #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (patch #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
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#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (patch #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (patch #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (+ x 2) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x)))) |
| 3.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (+ x 2) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x)))) |
| 2.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (+ x 2) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x)))) |
| 2.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (+ x 2) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x)))) |
| 1.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (+ x 2) x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x)))) |
| 1× | egg-herbie |
| 10 332× | lower-fma.f64 |
| 10 332× | lower-fma.f32 |
| 5 542× | lower-*.f64 |
| 5 542× | lower-*.f32 |
| 2 594× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 497 | 10800 |
| 1 | 1693 | 9523 |
| 2 | 5081 | 9425 |
| 0 | 8195 | 8927 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(* 2 (exp (* -1 x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
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(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(* eps x) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
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(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(* eps x) |
(* -1 (* eps (- (/ x eps) x))) |
(* -1 (* eps (- (/ x eps) x))) |
(* -1 (* eps (- (/ x eps) x))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* -1 (* eps x)) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
1 |
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(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
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1 |
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(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))) |
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2 |
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(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
1 |
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1 |
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(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))) |
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1 |
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2 |
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1 |
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1 |
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2 |
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(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
1 |
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2 |
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(* x (- eps 1)) |
(* x (- eps 1)) |
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(* -1 (* x (+ 1 eps))) |
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1 |
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2 |
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1 |
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1 |
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1 |
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1 |
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(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* x (exp (* -1 x))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 2 (* x (exp (* -1 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* x (+ 1 eps)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* -1 (* x (- 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
(exp (neg (* x (- 1 eps)))) |
| Outputs |
|---|
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))) (*.f64 eps eps)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(fma.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) |
(* 2 (exp (* -1 x))) |
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 eps x) x) (exp.f64 (neg.f64 x))) eps (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 eps x) x) (exp.f64 (neg.f64 x))) eps (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(fma.f64 (*.f64 (neg.f64 x) eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(fma.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))) (*.f64 eps eps)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
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(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
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(* eps x) |
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(* eps x) |
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(* eps x) |
(*.f64 eps x) |
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(*.f64 (+.f64 (/.f64 x eps) x) eps) |
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(* eps x) |
(*.f64 eps x) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))) |
(fma.f64 (-.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
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(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 2/3 x) 1))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
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(+ 1 (/ 1 eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x)) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
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(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* x (exp (* -1 x))) |
(*.f64 (exp.f64 (neg.f64 x)) x) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))) x) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))) x) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))) x) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 2 (* x (exp (* -1 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 x))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* x (+ 1 eps)) |
(fma.f64 eps x x) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 eps))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
| 5 186× | lower-*.f32 |
| 5 164× | lower-*.f64 |
| 4 210× | lower-/.f32 |
| 4 204× | lower-/.f64 |
| 4 058× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 396 |
| 0 | 97 | 394 |
| 1 | 324 | 372 |
| 2 | 2392 | 372 |
| 0 | 8828 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(exp.f64 (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))))) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x)))))) |
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal -1 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal -1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) #s(literal -1 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal -1 binary64))) (*.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (*.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) (neg.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(fma.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 eps) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(fma.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(fma.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
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(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 eps eps) eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(pow.f64 (exp.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (-.f64 eps #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (-.f64 (+.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 x (+.f64 #s(literal 2 binary64) x)))))) |
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (-.f64 (+.f64 #s(literal 2 binary64) x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 x (+.f64 #s(literal 2 binary64) x)))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (-.f64 (+.f64 #s(literal 2 binary64) x) x)) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 x x))) (*.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) x) (-.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x))) (-.f64 x (+.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (-.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 x (+.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (-.f64 (+.f64 #s(literal 2 binary64) x) x)) (-.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 x (+.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (-.f64 (+.f64 #s(literal 2 binary64) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 x (+.f64 #s(literal 2 binary64) x)))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) x) |
(fma.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) x)))) x) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (-.f64 (+.f64 #s(literal 2 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(+.f64 (+.f64 x x) #s(literal 2 binary64)) |
(+.f64 (+.f64 #s(literal 2 binary64) x) x) |
(+.f64 #s(literal 2 binary64) (+.f64 x x)) |
(+.f64 x (+.f64 #s(literal 2 binary64) x)) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))) |
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (neg.f64 eps) x))) |
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps)))) |
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (neg.f64 eps)) x)) |
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(pow.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal -1 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 eps #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (E.f64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) |
(pow.f64 (exp.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) |
(pow.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) x) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 eps #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64)))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (-.f64 #s(literal -1 binary64) eps))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 eps) x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))) |
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 (neg.f64 eps)))) |
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) eps)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x) |
(pow.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) eps)) |
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 eps eps) eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(pow.f64 (exp.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (-.f64 eps #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
Compiled 42 110 to 3 145 computations (92.5% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 220 | 24 | 1 244 |
| Fresh | 5 | 0 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 229 | 25 | 1 254 |
| Status | Accuracy | Program |
|---|---|---|
| 23.9% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 42.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 35.2% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 53.9% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 32.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 24.3% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| 25.5% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| ▶ | 63.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
| ▶ | 90.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| 78.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| 58.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| 60.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| 56.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| 52.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| 40.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| 42.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 40.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) | |
| 72.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) | |
| 68.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) | |
| 40.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 52.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 17.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) | |
| ✓ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 1 110 to 607 computations (45.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) | |
| cost-diff | 0 | (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| cost-diff | 128 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) | |
| cost-diff | 576 | (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 512 | (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) | |
| cost-diff | 0 | (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| 18 660× | lower-fma.f32 |
| 18 646× | lower-fma.f64 |
| 3 310× | lower-*.f32 |
| 3 292× | lower-*.f64 |
| 2 586× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 676 |
| 0 | 113 | 676 |
| 1 | 216 | 663 |
| 2 | 502 | 654 |
| 3 | 1335 | 634 |
| 4 | 3446 | 634 |
| 0 | 8412 | 618 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) |
#s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) |
(*.f64 (neg.f64 x) eps) |
(neg.f64 x) |
x |
eps |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(+.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
x |
(-.f64 eps #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
x |
#s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) |
#s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) |
(*.f64 (neg.f64 x) eps) |
(neg.f64 x) |
x |
eps |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) |
(+.f64 (/.f64 x eps) x) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
x |
(-.f64 eps #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) |
(+.f64 #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
x |
#s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.017670163890847707 | (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) | |
| accuracy | 0.0234375 | (*.f64 (-.f64 #s(literal -1 binary64) eps) x) | |
| accuracy | 1.2561653877352816 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| accuracy | 37.935979169100364 | #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) | |
| accuracy | 14.80273785064572 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) | |
| accuracy | 32.59032406933754 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) | |
| accuracy | 33.66888912588775 | #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) | |
| accuracy | 0.0625 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0.171875 | (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 22.627784353572014 | #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 27.79898042497321 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 25.142932109414115 | #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 27.79898042497321 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.017670163890847707 | (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) | |
| accuracy | 0.020036261784941275 | (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) | |
| accuracy | 1.2561653877352816 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| accuracy | 25.763896886966297 | #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) |
| 147.0ms | 194× | 0 | valid |
| 71.0ms | 62× | 1 | valid |
Compiled 466 to 55 computations (88.2% saved)
ival-mult: 72.0ms (37.8% of total)ival-exp: 65.0ms (34.1% of total)ival-div: 16.0ms (8.4% of total)ival-add: 16.0ms (8.4% of total)adjust: 7.0ms (3.7% of total)ival-sub: 6.0ms (3.2% of total)const: 4.0ms (2.1% of total)ival-neg: 3.0ms (1.6% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (patch (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (patch (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) (patch (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (patch (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) (patch (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (patch (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) (patch #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (patch (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (patch #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (patch #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) (patch #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor 0 eps) (#s(alt (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) (taylor 0 eps) (#s(alt (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) (taylor 0 eps) (#s(alt (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) (taylor 0 eps) (#s(alt (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (exp (* -1 x))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (patch (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (patch (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (patch (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (patch (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor 0 eps) (#s(alt (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (patch (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) (taylor 0 eps) (#s(alt (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (patch (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) (taylor 0 eps) (#s(alt (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (patch (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) (taylor 0 eps) (#s(alt (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (patch (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #<representation binary64>) () ())) ()) |
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#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (patch #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (patch #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (taylor -inf x) (#s(alt #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (patch #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (exp (* x (- eps 1))) (taylor -inf x) (#s(alt #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) (patch #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 eps))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 eps))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (patch (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* x x) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (+ (* (/ 1 eps) x) x) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (* -1/6 x) 1/2) (+ (* (+ (* -1/6 x) 1/2) x) -1) (exp (neg (* (+ 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (* (- eps 1) x)) (* (- -1 eps) x)) |
| 3.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* x x) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (+ (* (/ 1 eps) x) x) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (* -1/6 x) 1/2) (+ (* (+ (* -1/6 x) 1/2) x) -1) (exp (neg (* (+ 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (* (- eps 1) x)) (* (- -1 eps) x)) |
| 2.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* x x) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (+ (* (/ 1 eps) x) x) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (* -1/6 x) 1/2) (+ (* (+ (* -1/6 x) 1/2) x) -1) (exp (neg (* (+ 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (* (- eps 1) x)) (* (- -1 eps) x)) |
| 2.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* x x) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (+ (* (/ 1 eps) x) x) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (* -1/6 x) 1/2) (+ (* (+ (* -1/6 x) 1/2) x) -1) (exp (neg (* (+ 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (* (- eps 1) x)) (* (- -1 eps) x)) |
| 2.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* x x) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (+ (* (/ 1 eps) x) x) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (exp (* (- eps 1) x)) (+ (* -1/6 x) 1/2) (+ (* (+ (* -1/6 x) 1/2) x) -1) (exp (neg (* (+ 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (* (- eps 1) x)) (* (- -1 eps) x)) |
| 1× | egg-herbie |
| 12 216× | lower-fma.f64 |
| 12 216× | lower-fma.f32 |
| 5 642× | lower-*.f64 |
| 5 642× | lower-*.f32 |
| 3 076× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 550 | 10715 |
| 1 | 1883 | 9488 |
| 2 | 5944 | 9379 |
| 0 | 8866 | 8926 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(* 2 (exp (* -1 x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
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1 |
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2 |
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(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* x (exp (* -1 x))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x (exp (* -1 x))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 2 (* x (exp (* -1 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* x (* (+ 1 (/ 1 eps)) (- eps 1))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(* x (+ 1 (/ 1 eps))) |
(* x (+ 1 (/ 1 eps))) |
(* x (+ 1 (/ 1 eps))) |
(* x (+ 1 (/ 1 eps))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(* -1/6 x) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
| Outputs |
|---|
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))) (*.f64 eps eps)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(fma.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) |
(* 2 (exp (* -1 x))) |
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 eps x) x) (exp.f64 (neg.f64 x))) eps (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 eps x) x) (exp.f64 (neg.f64 x))) eps (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(fma.f64 (*.f64 (neg.f64 x) eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 eps x) x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))) (*.f64 eps eps)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
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(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
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(*.f64 x x) |
(pow x 2) |
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(pow x 2) |
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(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
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(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
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1 |
#s(literal 1 binary64) |
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2 |
#s(literal 2 binary64) |
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1 |
#s(literal 1 binary64) |
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(* x (+ 1 (/ 1 eps))) |
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(* x (+ 1 (/ 1 eps))) |
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#s(literal 2 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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2 |
#s(literal 2 binary64) |
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(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 2 (* x (exp (* -1 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 x))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(* x (* (+ 1 (/ 1 eps)) (- eps 1))) |
(*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) x))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) x))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) x))) |
(* x (+ 1 (/ 1 eps))) |
(+.f64 (/.f64 x eps) x) |
(* x (+ 1 (/ 1 eps))) |
(+.f64 (/.f64 x eps) x) |
(* x (+ 1 (/ 1 eps))) |
(+.f64 (/.f64 x eps) x) |
(* x (+ 1 (/ 1 eps))) |
(+.f64 (/.f64 x eps) x) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) x) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(exp (* x (- eps 1))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(* -1 (* x (+ 1 eps))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
| 7 216× | lower-*.f32 |
| 7 198× | lower-*.f64 |
| 4 134× | lower-/.f32 |
| 4 130× | lower-/.f64 |
| 3 296× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 573 |
| 0 | 113 | 573 |
| 1 | 438 | 552 |
| 2 | 3542 | 552 |
| 0 | 10734 | 542 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
#s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64))))) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) |
(fma.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) (*.f64 (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))))) (neg.f64 (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 3 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(fma.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (neg.f64 x)) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(fma.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x)) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 x) eps)) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 (neg.f64 eps))) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) eps) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 x x))) (-.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))) |
(exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) x) x)) |
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(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(pow.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (-.f64 eps #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (neg.f64 x)))))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (neg.f64 x)))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (neg.f64 x)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (neg.f64 x)))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) (log.f64 (exp.f64 x))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(*.f64 (neg.f64 x) (log.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))))) |
(*.f64 (neg.f64 x) (+.f64 eps #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (log.f64 (exp.f64 (fma.f64 x eps x)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) |
(*.f64 (fma.f64 x eps x) (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x eps x) #s(literal -1 binary64)) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) x) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.f64 #s(literal 0 binary64) (fma.f64 x eps x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 x eps x))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x eps x) (fma.f64 x eps x) (*.f64 #s(literal 0 binary64) (fma.f64 x eps x))))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (exp.f64 (fma.f64 x eps x)))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) eps)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 (fma.f64 x eps x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (fma.f64 x eps x)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x eps x)) |
(+.f64 (log.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) eps)) |
(log.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
Compiled 29 249 to 2 009 computations (93.1% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 974 | 13 | 987 |
| Fresh | 7 | 12 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 982 | 30 | 1 012 |
| Status | Accuracy | Program |
|---|---|---|
| 32.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 47.5% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| ✓ | 24.3% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| ▶ | 15.9% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| 8.3% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 63.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 90.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| 63.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| 56.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 78.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| 75.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| 58.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| 46.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| 60.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| 56.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| 39.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| 52.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| ▶ | 39.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| 40.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| ▶ | 42.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| 72.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) | |
| 68.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) | |
| 40.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 52.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 17.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) | |
| ▶ | 1.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
| ✓ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 1 212 to 673 computations (44.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) | |
| cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) | |
| cost-diff | 192 | (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) | |
| cost-diff | 384 | (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) | |
| cost-diff | 0 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| cost-diff | 128 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| cost-diff | 128 | (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) | |
| cost-diff | 192 | (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) |
| 12 214× | lower-fma.f32 |
| 12 194× | lower-fma.f64 |
| 3 530× | lower-*.f32 |
| 3 496× | lower-*.f64 |
| 3 226× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1326 |
| 0 | 159 | 1314 |
| 1 | 326 | 1246 |
| 2 | 862 | 1198 |
| 3 | 3153 | 1190 |
| 4 | 6105 | 1154 |
| 0 | 8038 | 1087 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
#s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) |
(*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) |
(fma.f64 eps x x) |
eps |
x |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
#s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(+.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) |
#s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) eps) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
eps |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) |
(*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) |
#s(literal 1/6 binary64) |
(-.f64 eps #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) |
#s(literal -1/6 binary64) |
x |
(-.f64 (-.f64 eps #s(literal 1 binary64)) eps) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(+.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
#s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) |
(*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) |
(*.f64 (-.f64 eps #s(literal -1 binary64)) (fma.f64 x eps x)) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
eps |
x |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (+.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64)))) |
#s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
#s(literal 1 binary64) |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) |
#s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) eps) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
eps |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x)) x #s(literal -2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
(fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) eps) |
(-.f64 eps #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) x) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
(-.f64 eps #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (fma.f64 (-.f64 eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) |
(fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
(-.f64 (-.f64 eps #s(literal 1 binary64)) eps) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.246474643200252 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) | |
| accuracy | 16.158124187003484 | (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) | |
| accuracy | 16.46837558290112 | (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) | |
| accuracy | 17.34461183262752 | #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) | |
| accuracy | 14.80273785064572 | (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) | |
| accuracy | 18.281003693506953 | #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) | |
| accuracy | 19.157821793751214 | #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) | |
| accuracy | 19.21851481406394 | #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) | |
| accuracy | 0.265625 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 8.842095051870464 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| accuracy | 13.794511197128642 | #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) | |
| accuracy | 28.84393282799272 | #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 8.842095051870464 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| accuracy | 15.257456990564549 | #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| accuracy | 29.034813068359462 | #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) | |
| accuracy | 1.2561653877352816 | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| accuracy | 17.338389965860756 | #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) |
| 175.0ms | 125× | 1 | valid |
| 65.0ms | 77× | 1 | exit |
| 28.0ms | 54× | 0 | valid |
Compiled 833 to 82 computations (90.2% saved)
ival-mult: 70.0ms (32.5% of total)adjust: 43.0ms (20% of total)ival-add: 33.0ms (15.3% of total)const: 29.0ms (13.5% of total)ival-exp: 16.0ms (7.4% of total)ival-sub: 12.0ms (5.6% of total)ival-div: 7.0ms (3.3% of total)ival-neg: 4.0ms (1.9% of total)exact: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) (patch (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (patch #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (patch #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) (patch (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (patch #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) (patch (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (patch #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) (patch #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) (patch (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) (patch (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (patch (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (patch (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (patch #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (patch (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) (patch #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (patch #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) (patch #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* 1/2 x) 1) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) (patch (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 x) (* eps (- x 1))) 1) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) (patch (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) (patch (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) (patch (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1)))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) (taylor -inf x) (#s(alt #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) (patch #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | eps | @ | 0 | ((+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* -1/2 (* x x)) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (- (- eps 1) eps) (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (* (+ 1 eps) (+ 1 eps)) (* 1/6 (- eps 1)) (exp (* (- -1 eps) x)) (* (+ (* eps x) x) (+ 1 eps)) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* -1/6 x) (exp (neg (* (+ 1 eps) x))) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) |
| 15.0ms | x | @ | inf | ((+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* -1/2 (* x x)) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (- (- eps 1) eps) (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (* (+ 1 eps) (+ 1 eps)) (* 1/6 (- eps 1)) (exp (* (- -1 eps) x)) (* (+ (* eps x) x) (+ 1 eps)) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* -1/6 x) (exp (neg (* (+ 1 eps) x))) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) |
| 9.0ms | x | @ | 0 | ((+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* -1/2 (* x x)) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (- (- eps 1) eps) (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (* (+ 1 eps) (+ 1 eps)) (* 1/6 (- eps 1)) (exp (* (- -1 eps) x)) (* (+ (* eps x) x) (+ 1 eps)) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* -1/6 x) (exp (neg (* (+ 1 eps) x))) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) |
| 6.0ms | x | @ | -inf | ((+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* -1/2 (* x x)) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (- (- eps 1) eps) (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (* (+ 1 eps) (+ 1 eps)) (* 1/6 (- eps 1)) (exp (* (- -1 eps) x)) (* (+ (* eps x) x) (+ 1 eps)) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* -1/6 x) (exp (neg (* (+ 1 eps) x))) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) |
| 3.0ms | eps | @ | inf | ((+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (+ (* -1/2 (* x x)) 1) (* -1/2 (* x x)) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (- (- eps 1) eps) (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (* (+ 1 eps) (+ 1 eps)) (* 1/6 (- eps 1)) (exp (* (- -1 eps) x)) (* (+ (* eps x) x) (+ 1 eps)) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* -1/6 x) (exp (neg (* (+ 1 eps) x))) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) |
| 1× | egg-herbie |
| 13 696× | lower-fma.f64 |
| 13 696× | lower-fma.f32 |
| 6 722× | lower-*.f64 |
| 6 722× | lower-*.f32 |
| 4 258× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 697 | 10253 |
| 1 | 2385 | 9210 |
| 2 | 7790 | 9122 |
| 0 | 8754 | 8707 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 x) 1) |
(- (+ (* 1/2 x) (* eps (- x 1))) 1) |
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1) |
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1)))) |
(+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))) |
(+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
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(exp (* -1 x)) |
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(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
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(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
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(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(/ (exp (neg x)) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps) |
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps) |
(/ (+ 1 (* -1 x)) eps) |
(/ (+ 1 (+ (* -1 x) (* eps (+ 1 (+ x (* -1 x)))))) eps) |
(/ (+ 1 (+ (* -1 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))) eps) |
(/ (+ 1 (+ (* -1 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))) eps) |
-1 |
-1 |
-1 |
-1 |
(- (* x (+ 1 (* -1/3 x))) 2) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
1 |
(+ 1 (* 2 eps)) |
(+ 1 (* eps (+ 2 eps))) |
(+ 1 (* eps (+ 2 eps))) |
-1/6 |
(- (* 1/6 eps) 1/6) |
(- (* 1/6 eps) 1/6) |
(- (* 1/6 eps) 1/6) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
x |
(+ x (* 2 (* eps x))) |
(+ x (* eps (+ (* 2 x) (* eps x)))) |
(+ x (* eps (+ (* 2 x) (* eps x)))) |
(exp (neg x)) |
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
(* 2 (exp (* -1 x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
-1/3 |
(- (* -1 (pow eps 2)) 1/3) |
(- (* -1 (pow eps 2)) 1/3) |
(- (* -1 (pow eps 2)) 1/3) |
(* -1/3 x) |
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x)) |
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x)) |
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x)) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps))) |
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
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(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
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(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
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(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
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(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(exp (neg (* x (- 1 eps)))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(* eps x) |
(* eps (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps))))) |
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps))))))) |
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps))))))) |
-1 |
-1 |
-1 |
-1 |
(* (pow eps 2) (* x (+ 1 (* -1 x)))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2))))) |
(* 1/6 eps) |
(* eps (- 1/6 (* 1/6 (/ 1 eps)))) |
(* eps (- 1/6 (* 1/6 (/ 1 eps)))) |
(* eps (- 1/6 (* 1/6 (/ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ x (* 2 (/ x eps)))) |
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2))))) |
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2))))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(* -1 (pow eps 2)) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2))))) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2)))) |
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
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(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) |
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(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
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(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
(exp (neg (* x (+ 1 (* -1 eps))))) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)) |
(* eps x) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 (+ x (* -1 x)))) eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 (+ x (* -1 x))) (* -1 (/ (- x 1) eps)))) eps))))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -1 (+ x (* -1 x))) (* -1 (/ (- x 1) eps)))) eps))))) |
-1 |
-1 |
-1 |
-1 |
(* (pow eps 2) (* x (+ 1 (* -1 x)))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2))))) |
(* 1/6 eps) |
(* -1 (* eps (- (* 1/6 (/ 1 eps)) 1/6))) |
(* -1 (* eps (- (* 1/6 (/ 1 eps)) 1/6))) |
(* -1 (* eps (- (* 1/6 (/ 1 eps)) 1/6))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ x (* 2 (/ x eps)))) |
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps)))) |
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps)))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(exp (neg (* x (- 1 (* -1 eps))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(* -1 (pow eps 2)) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2))))) |
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2))))) |
(* -1 (+ 1 eps)) |
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps)) |
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps)) |
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps)) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
1 |
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(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
1 |
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(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))) |
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1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
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1 |
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(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))) |
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
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(+ 1 (* -1/2 (pow x 2))) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))) |
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) |
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
2 |
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(+ 2 (* (pow x 2) (- (* 2/3 x) 1))) |
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
2 |
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))) |
1 |
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))) |
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))) |
(+ 1 (/ 1 eps)) |
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
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(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))) |
(+ 1 (/ 1 eps)) |
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(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))) |
-2 |
(- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2)))) 2) |
(- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))))) 2) |
(- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))))) 2) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(* x (pow (+ 1 eps) 2)) |
(* x (pow (+ 1 eps) 2)) |
(* x (pow (+ 1 eps) 2)) |
(* x (pow (+ 1 eps) 2)) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
2 |
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* 1/2 (* x (pow (+ 1 eps) 2))) |
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2)))) |
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2)))) |
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2)))) |
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2))) |
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2)))) |
(* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (/ 1 (pow x 2))) (+ (/ 1 x) (/ eps x)))) |
(* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (/ 1 (pow x 2))) (+ (/ 1 x) (/ eps x)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
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(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
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(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* x (exp (neg x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* x (exp (neg x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 2 (* x (exp (neg x)))) |
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x)))) |
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x)))) |
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x)))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) |
(* x (* (+ 1 (/ 1 eps)) (- eps 1))) |
(* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x))))) |
(* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x))))) |
(* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x))))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2)) x))))) |
(* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2)) x)))) (/ 2 (pow x 2)))) |
(* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2)) x)))) (/ 2 (pow x 2)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(* x (pow (+ 1 eps) 2)) |
(* x (pow (+ 1 eps) 2)) |
(* x (pow (+ 1 eps) 2)) |
(* x (pow (+ 1 eps) 2)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(exp (neg (+ x (* eps x)))) |
(exp (neg (+ x (* eps x)))) |
(exp (neg (+ x (* eps x)))) |
(exp (neg (+ x (* eps x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x))))) |
(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x))))) |
(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x))))) |
(* -1/2 (* (pow x 2) (* (+ 1 eps) (- (* -1 eps) 1)))) |
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))) |
(* (pow x 2) (+ (* -1 (/ (- (+ 1 eps) (/ 1 x)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))) |
(* (pow x 2) (+ (* -1 (/ (- (+ 1 eps) (/ 1 x)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* x (exp (* -1 x))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* x (exp (* -1 x))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 2 (* x (exp (* -1 x)))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x))))) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(* x (* (+ 1 (/ 1 eps)) (- eps 1))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2)) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1)))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(exp (neg (* x (+ 1 eps)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
| Outputs |
|---|
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 x) (* eps (- x 1))) 1) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) eps (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1) |
(fma.f64 (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal -1 binary64)) eps (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1) |
(fma.f64 (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal -1 binary64)) eps (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1)))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) eps) x (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))) eps (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))) eps (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) (-.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) (-.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(fma.f64 #s(literal 0 binary64) eps (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(fma.f64 (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 0 binary64)) eps (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 x x) (*.f64 #s(literal 0 binary64) eps)) #s(literal 0 binary64)) eps (exp.f64 (neg.f64 x))) |
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) |
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))) |
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) (-.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))) |
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-1 |
#s(literal -1 binary64) |
(- (* x (+ 1 (* -1/3 x))) 2) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64)) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 eps)) |
(fma.f64 #s(literal 2 binary64) eps #s(literal 1 binary64)) |
(+ 1 (* eps (+ 2 eps))) |
(fma.f64 (+.f64 #s(literal 2 binary64) eps) eps #s(literal 1 binary64)) |
(+ 1 (* eps (+ 2 eps))) |
(fma.f64 (+.f64 #s(literal 2 binary64) eps) eps #s(literal 1 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/6 eps) 1/6) |
(fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) |
(- (* 1/6 eps) 1/6) |
(fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) |
(- (* 1/6 eps) 1/6) |
(fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(fma.f64 (*.f64 (neg.f64 eps) x) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(fma.f64 (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) eps)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
x |
(+ x (* 2 (* eps x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal 1 binary64)) x) |
(+ x (* eps (+ (* 2 x) (* eps x)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) eps) x) eps x) |
(+ x (* eps (+ (* 2 x) (* eps x)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) eps) x) eps x) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))) |
(fma.f64 (*.f64 (neg.f64 eps) x) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))) |
(fma.f64 (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) eps)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) |
(* 2 (exp (* -1 x))) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) eps)) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) eps) #s(literal 0 binary64)) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 x x) (*.f64 #s(literal 0 binary64) eps)) eps #s(literal 0 binary64)) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1 (pow eps 2)) 1/3) |
(fma.f64 (neg.f64 eps) eps #s(literal -1/3 binary64)) |
(- (* -1 (pow eps 2)) 1/3) |
(fma.f64 (neg.f64 eps) eps #s(literal -1/3 binary64)) |
(- (* -1 (pow eps 2)) 1/3) |
(fma.f64 (neg.f64 eps) eps #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x)) |
(*.f64 x (fma.f64 (neg.f64 eps) eps #s(literal -1/3 binary64))) |
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x)) |
(*.f64 x (fma.f64 (neg.f64 eps) eps #s(literal -1/3 binary64))) |
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x)) |
(*.f64 x (fma.f64 (neg.f64 eps) eps #s(literal -1/3 binary64))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64)) |
(* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)) |
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 1/2 binary64)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) eps) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 eps eps)) (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 eps eps)) (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (*.f64 eps eps)) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) eps)) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) eps)) |
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))) |
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) eps)) |
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))) |
(*.f64 (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) eps) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))) #s(literal 1/2 binary64)) |
(exp (neg (* x (- 1 eps)))) |
(exp.f64 (fma.f64 eps x (neg.f64 x))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* eps x) |
(*.f64 eps x) |
(* eps (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps))))) |
(*.f64 (+.f64 (-.f64 x (/.f64 x eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 x eps))) eps) |
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps))))))) |
(*.f64 (+.f64 (-.f64 x (/.f64 x eps)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 x eps)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (*.f64 eps eps)))) eps) |
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps))))))) |
(*.f64 (+.f64 (-.f64 x (/.f64 x eps)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 x eps)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (*.f64 eps eps)))) eps) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
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2 |
#s(literal 2 binary64) |
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1 |
#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) x) |
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2 |
#s(literal 2 binary64) |
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1 |
#s(literal 1 binary64) |
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#s(literal -2 binary64) |
(- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2)))) 2) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
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(* x (pow (+ 1 eps) 2)) |
(*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) |
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(* x (pow (+ 1 eps) 2)) |
(*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) |
(* x (pow (+ 1 eps) 2)) |
(*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
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(*.f64 #s(literal -1/6 binary64) x) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))) |
(fma.f64 (-.f64 (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
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(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* x (* (+ 1 (/ 1 eps)) (- eps 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) x))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) x))) |
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))))) |
(*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) x))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2)) x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- 1 eps) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)))) (*.f64 x x)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) (-.f64 #s(literal -1 binary64) eps)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(exp (neg (* x (+ 1 eps)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) x) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) x) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) x) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) x) |
| 6 338× | lower-fma.f32 |
| 6 318× | lower-fma.f64 |
| 5 714× | lower-*.f32 |
| 5 682× | lower-*.f64 |
| 2 454× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 796 |
| 0 | 156 | 766 |
| 1 | 666 | 725 |
| 2 | 5961 | 725 |
| 0 | 9258 | 703 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
#s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) |
#s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps)) |
(-.f64 (-.f64 eps #s(literal 1 binary64)) eps) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
(*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) |
#s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) |
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (+.f64 #s(literal 1 binary64) eps))))))) |
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(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (+.f64 #s(literal 1 binary64) eps))))) (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) #s(literal -1 binary64)) |
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(fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) eps))))) |
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) x) |
(*.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) eps)))) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/216 binary64) (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) x) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))))))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) eps))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/216 binary64) (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))) x (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) x (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))) x)) |
(fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) x)) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64))))) |
Compiled 44 191 to 3 107 computations (93% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 937 | 12 | 949 |
| Fresh | 4 | 16 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 945 | 34 | 979 |
| Status | Accuracy | Program |
|---|---|---|
| 15.9% | (fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) | |
| 32.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 24.0% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/6 binary64) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 9.1% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 8.3% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| 63.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 90.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| 63.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| 56.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| 75.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| 46.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| 60.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) | |
| 56.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| 39.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| 52.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| ✓ | 39.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| 40.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) | |
| 53.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 54.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 72.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 48.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 42.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 62.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 40.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 68.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) | |
| 40.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 52.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 40.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 17.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) | |
| 22.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) | |
| ✓ | 1.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
| ✓ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 2 187 to 691 computations (68.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/6 binary64) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
4 calls:
| 17.0ms | x |
| 16.0ms | eps |
| 15.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 13.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 100.0% | 2 | eps |
| 98.0% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 98.0% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
1 calls:
| 15.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | eps |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/6 binary64) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
1 calls:
| 46.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | eps |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/6 binary64) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
4 calls:
| 16.0ms | eps |
| 14.0ms | x |
| 13.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 12.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 4 | x |
| 94.9% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 94.9% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 95.2% | 2 | eps |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/6 binary64) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
1 calls:
| 15.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 2 | eps |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/6 binary64) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64))) |
3 calls:
| 15.0ms | eps |
| 12.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 11.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 92.1% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 91.6% | 2 | eps |
Compiled 63 to 38 computations (39.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/6 binary64) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
2 calls:
| 11.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 10.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 92.1% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
Compiled 60 to 36 computations (40% saved)
| Inputs |
|---|
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) #s(approx (+ (* (+ (* (* (+ (* eps x) x) (+ 1 eps)) 1/2) (- -1 eps)) x) 1) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
3 calls:
| 14.0ms | eps |
| 11.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 10.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 2 | eps |
| 90.6% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 90.6% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
Compiled 63 to 38 computations (39.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
4 calls:
| 10.0ms | eps |
| 10.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 10.0ms | x |
| 8.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 2 | x |
| 75.1% | 1 | eps |
| 75.1% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 75.1% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))) x (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ (* (+ (* (/ 1 eps) x) x) (- eps 1)) (+ (/ 1 eps) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
1 calls:
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 1 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) (*.f64 #s(literal -1/6 binary64) x)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
4 calls:
| 5.0ms | x |
| 5.0ms | eps |
| 4.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 4.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 2 | eps |
| 62.2% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 62.2% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 74.1% | 2 | x |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
4 calls:
| 6.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 4.0ms | x |
| 4.0ms | eps |
| 3.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 52.1% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 52.1% | 1 | eps |
| 61.3% | 2 | x |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | eps |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | eps |
| 52.1% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
Total -25.2b remaining (-66.8%)
Threshold costs -25.2b (-66.8%)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
4 calls:
| 3.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 2.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.0% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 41.0% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 41.0% | 1 | x |
| 41.0% | 1 | eps |
Compiled 66 to 40 computations (39.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.2997208786227285e-8 | 1.4133809359224168e-8 |
| 2.0ms | 16× | 0 | valid |
| 0.0ms | 1× | 0 | exit |
Compiled 81 to 55 computations (32.1% saved)
ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2997208786227285e-8 | 1.4133809359224168e-8 |
Compiled 68 to 49 computations (27.9% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2997208786227285e-8 | 1.4133809359224168e-8 |
Compiled 68 to 48 computations (29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.0002536465117109851 | 0.015407192165865875 |
| 12.0ms | 112× | 0 | valid |
| 2.0ms | 21× | 0 | exit |
Compiled 426 to 262 computations (38.5% saved)
ival-mult: 3.0ms (28% of total)ival-div: 2.0ms (18.7% of total)ival-exp: 2.0ms (18.7% of total)ival-sub: 2.0ms (18.7% of total)ival-add: 1.0ms (9.3% of total)ival-neg: 1.0ms (9.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0002536465117109851 | 0.015407192165865875 |
Compiled 349 to 220 computations (37% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.686838862370414e+38 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.686838862370414e+38 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.686838862370414e+38 | +inf |
Compiled 34 to 24 computations (29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 79.0ms | 1.5088740792225543e-179 | 4.243261447811065e-166 |
| 55.0ms | 102× | 0 | valid |
| 17.0ms | 58× | 1 | valid |
Compiled 814 to 394 computations (51.6% saved)
ival-div: 47.0ms (69.5% of total)ival-exp: 6.0ms (8.9% of total)ival-mult: 5.0ms (7.4% of total)ival-sub: 3.0ms (4.4% of total)ival-add: 2.0ms (3% of total)adjust: 2.0ms (3% of total)ival-neg: 2.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.3125243202269805e+20 | 1.3564148443844105e+25 |
| 17.0ms | 144× | 0 | valid |
Compiled 394 to 249 computations (36.8% saved)
ival-exp: 5.0ms (35.3% of total)ival-mult: 3.0ms (21.2% of total)ival-div: 2.0ms (14.1% of total)ival-sub: 2.0ms (14.1% of total)ival-add: 1.0ms (7.1% of total)ival-neg: 1.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | -5320147011.329114 | -202708.95141795898 |
| 18.0ms | 93× | 1 | exit |
| 16.0ms | 128× | 0 | valid |
Compiled 290 to 192 computations (33.8% saved)
ival-mult: 7.0ms (25.7% of total)ival-sub: 5.0ms (18.3% of total)ival-exp: 4.0ms (14.7% of total)adjust: 3.0ms (11% of total)ival-div: 3.0ms (11% of total)ival-add: 2.0ms (7.3% of total)ival-neg: 2.0ms (7.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -920.733184976121 | -10.132516381430058 |
| 17.0ms | 45× | 1 | valid |
| 7.0ms | 67× | 0 | valid |
Compiled 244 to 157 computations (35.7% saved)
ival-exp: 5.0ms (24.6% of total)ival-mult: 4.0ms (19.7% of total)adjust: 3.0ms (14.8% of total)ival-add: 3.0ms (14.8% of total)ival-sub: 2.0ms (9.8% of total)ival-div: 2.0ms (9.8% of total)ival-neg: 1.0ms (4.9% 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 |
| 360× | distribute-lft-neg-in_binary64 |
| 278× | unsub-neg_binary64 |
| 242× | neg-mul-1_binary64 |
| 190× | neg-sub0_binary64 |
| 158× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 1829 |
| 1 | 292 | 1829 |
| 2 | 350 | 1820 |
| 3 | 415 | 1820 |
| 4 | 479 | 1820 |
| 5 | 598 | 1820 |
| 6 | 702 | 1820 |
| 7 | 876 | 1820 |
| 8 | 1049 | 1820 |
| 9 | 1166 | 1820 |
| 10 | 1258 | 1820 |
| 11 | 1340 | 1820 |
| 12 | 1398 | 1820 |
| 13 | 1427 | 1820 |
| 14 | 1434 | 1820 |
| 15 | 1435 | 1820 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 8762203435012037/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal 8762203435012037/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 8180034981851317/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal 132000000000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -210000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -62 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))))) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 2115620184325601/151115727451828646838272 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 8762203435012037/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) x #s(literal 1 binary64))))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal 8762203435012037/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))))) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) eps)) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(if (<=.f64 eps #s(literal 8762203435012037/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 8762203435012037/576460752303423488 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps) (*.f64 (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 999999999999999939709166371603178586112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 8180034981851317/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 8180034981851317/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(approx (* (+ 1 eps) (+ 1 eps)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)))) x)) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64)) #s(approx (exp (* (- -1 eps) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal 132000000000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 132000000000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -210000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* (- 1 eps) (- 1 eps)) (* (+ 1 eps) (+ 1 eps))) 1/2) (* (+ (* (* 1/6 (- eps 1)) (* (- 1 eps) (- 1 eps))) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (+ 1 eps)))) x)) x) (- (- eps 1) eps)) 1) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -62 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- -1 eps) x)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
| 13 696× | lower-fma.f64 |
| 13 696× | lower-fma.f32 |
| 13 388× | lower-fma.f64 |
| 13 388× | lower-fma.f32 |
| 12 216× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 2821 |
| 1 | 900 | 2444 |
| 2 | 3066 | 2190 |
| 0 | 8268 | 2065 |
| 0 | 697 | 10253 |
| 1 | 2385 | 9210 |
| 2 | 7790 | 9122 |
| 0 | 8754 | 8707 |
| 0 | 497 | 10800 |
| 1 | 1693 | 9523 |
| 2 | 5081 | 9425 |
| 0 | 8195 | 8927 |
| 0 | 550 | 10715 |
| 1 | 1883 | 9488 |
| 2 | 5944 | 9379 |
| 0 | 8866 | 8926 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 832 to 272 computations (67.3% saved)
Compiled 1 510 to 408 computations (73% saved)
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