
Time bar (total: 56.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 3 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 4 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 5 |
| 0% | 0% | 21.8% | 75% | 0% | 3.1% | 0% | 6 |
| 0% | 0% | 18.7% | 75% | 0% | 6.2% | 0% | 7 |
| 19% | 3.1% | 13.3% | 75% | 0% | 8.6% | 0% | 8 |
| 19% | 3.1% | 13.3% | 75% | 0% | 8.6% | 0% | 9 |
| 21.6% | 3.1% | 11.3% | 75% | 0% | 10.5% | 0% | 10 |
| 24.6% | 3.1% | 9.6% | 75% | 0% | 12.3% | 0% | 11 |
| 35.6% | 3.1% | 5.7% | 75% | 0% | 16.2% | 0% | 12 |
Compiled 51 to 27 computations (47.1% saved)
| 30.5s | 7 380× | 5 | exit |
| 4.8s | 23 839× | 0 | exit |
| 1.4s | 8 068× | 0 | valid |
| 212.0ms | 17× | 4 | valid |
| 60.0ms | 147× | 1 | valid |
| 16.0ms | 34× | 1 | exit |
| 14.0ms | 10× | 3 | valid |
| 10.0ms | 14× | 2 | valid |
ival-pow: 27.8s (79.6% of total)adjust: 2.1s (6.1% of total)ival-div: 1.4s (4.1% of total)ival-exp: 853.0ms (2.4% of total)ival-add: 665.0ms (1.9% of total)ival-mult: 648.0ms (1.9% of total)ival-sub: 621.0ms (1.8% of total)ival-neg: 459.0ms (1.3% of total)ival-<: 213.0ms (0.6% of total)ival-and: 60.0ms (0.2% of total)exact: 60.0ms (0.2% of total)ival-assert: 16.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 8 | 0 | - | 0 | - | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 4 | 0 | - | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
| 2 | 0 | - | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
| 0 | 0 | - | 0 | - | (neg.f64 s) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
| 0 | 0 | - | 0 | - | (neg.f64 t) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| 0 | 0 | - | 0 | - | c_p |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| 0 | 1 | (6.463911537634455e-226 1.6135178060166962e-189 -338.80884612457294 3.938794074035373e-151) | 0 | - | (exp.f64 (neg.f64 t)) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 s)) |
| 0 | 0 | - | 0 | - | c_n |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 0 | 4 | (4.337159953101324e-220 147.82966699336183 1.1118423664777688e-242 -1.5836472994925975e-79) | 0 | - | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
| 0 | 1 | (4.337159953101324e-220 147.82966699336183 1.1118423664777688e-242 -1.5836472994925975e-79) | 0 | - | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | u/u | 8 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 8 | |
| ↳ | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) | underflow | 17 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 16 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | underflow | 7 | |
| ↳ | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) | underflow | 9 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 14 | |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 4 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 8 | |
| ↳ | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | underflow | 4 | |
| ↳ | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) | underflow | 8 | |
pow.f64 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | sensitivity | 4 | 0 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | uflow-rescue | 4 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 4 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 4 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | uflow-rescue | 2 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 8 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 8 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 7 | |
exp.f64 | (exp.f64 (neg.f64 t)) | sensitivity | 1 | 0 |
pow.f64 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 0 |
| - | 2 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 2 | 2 | 238 |
| number | freq |
|---|---|
| 0 | 240 |
| 1 | 12 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 97.0ms | 498× | 0 | valid |
| 8.0ms | 8× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 415 to 70 computations (83.1% saved)
ival-pow: 24.0ms (29.8% of total)ival-exp: 15.0ms (18.6% of total)ival-add: 14.0ms (17.4% of total)ival-div: 10.0ms (12.4% of total)ival-mult: 6.0ms (7.4% of total)ival-sub: 5.0ms (6.2% of total)ival-neg: 5.0ms (6.2% of total)adjust: 1.0ms (1.2% of total)ival-true: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 594× | sub-neg |
| 524× | div-sub |
| 496× | associate-/r* |
| 464× | times-frac |
| 418× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 606 |
| 1 | 250 | 606 |
| 2 | 673 | 606 |
| 3 | 1430 | 606 |
| 4 | 2139 | 606 |
| 5 | 2759 | 606 |
| 6 | 3172 | 606 |
| 7 | 3532 | 606 |
| 8 | 4111 | 606 |
| 9 | 4200 | 606 |
| 10 | 4216 | 606 |
| 11 | 4216 | 606 |
| 0 | 22 | 43 |
| 0 | 39 | 43 |
| 1 | 65 | 43 |
| 2 | 103 | 43 |
| 3 | 141 | 43 |
| 4 | 187 | 43 |
| 5 | 236 | 43 |
| 6 | 291 | 43 |
| 7 | 339 | 43 |
| 8 | 355 | 43 |
| 9 | 365 | 43 |
| 10 | 369 | 43 |
| 0 | 369 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
Compiled 47 to 22 computations (53.2% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.6% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
Compiled 47 to 22 computations (53.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 136× | lower-*.f32 |
| 132× | lower-*.f64 |
| 128× | lower-fma.f64 |
| 128× | lower-fma.f32 |
| 128× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 182 |
| 0 | 39 | 182 |
| 1 | 65 | 182 |
| 2 | 103 | 182 |
| 3 | 141 | 182 |
| 4 | 187 | 182 |
| 5 | 236 | 182 |
| 6 | 291 | 182 |
| 7 | 339 | 182 |
| 8 | 355 | 182 |
| 9 | 365 | 182 |
| 10 | 369 | 182 |
| 0 | 369 | 182 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
c_n |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
c_n |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.9687279754647707 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 1.9609430000865564 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 43.0ms | 249× | 0 | valid |
| 4.0ms | 4× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 184 to 24 computations (87% saved)
ival-pow: 12.0ms (35% of total)ival-div: 5.0ms (14.6% of total)ival-exp: 5.0ms (14.6% of total)ival-add: 3.0ms (8.8% of total)ival-mult: 3.0ms (8.8% of total)ival-neg: 3.0ms (8.8% of total)ival-sub: 2.0ms (5.8% of total)adjust: 1.0ms (2.9% 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (taylor 0 s) (#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (taylor 0 s) (#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (taylor 0 s) (#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (taylor 0 s) (#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (taylor inf s) (#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (taylor inf s) (#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (+ 1 (exp (neg s)))) (taylor inf s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (neg s)))) (taylor inf s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) (taylor 0 t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) (taylor 0 t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
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#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) (taylor 0 c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) (taylor 0 c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) (taylor 0 c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor -inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor -inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor -inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (taylor -inf c_p) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/4 s)) (taylor 0 s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) (taylor 0 s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) (taylor 0 s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (neg s))))) (taylor inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (neg s))))) (taylor inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (neg s))))) (taylor inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (neg s))))) (taylor inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (* -1 s))))) (taylor -inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (* -1 s))))) (taylor -inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (* -1 s))))) (taylor -inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 (+ 1 (exp (* -1 s))))) (taylor -inf s) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 306.0ms | s | @ | inf | (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
| 251.0ms | t | @ | inf | (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
| 118.0ms | s | @ | -inf | (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
| 44.0ms | c_p | @ | inf | (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
| 38.0ms | t | @ | -inf | (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
| 1× | egg-herbie |
| 13 540× | lower-fma.f64 |
| 13 540× | lower-fma.f32 |
| 6 698× | lower-*.f64 |
| 6 698× | lower-*.f32 |
| 4 946× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 401 | 6787 |
| 1 | 1259 | 6210 |
| 2 | 4638 | 5677 |
| 0 | 8598 | 5377 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(+ (* -1 (/ (* t (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) |
(+ (* t (- (* -1 (* t (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* -1 (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))))) (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(+ (* c_p (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(+ (* c_n (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(+ (* c_n (+ (* 1/2 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(+ (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
1 |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
1/2 |
(+ 1/2 (* 1/4 s)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
1 |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
1/2 |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
| Outputs |
|---|
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(fma.f64 s (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c_p))) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 c_p s) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (fma.f64 s (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 c_p s) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (fma.f64 s (*.f64 (*.f64 c_p c_p) (fma.f64 c_p #s(literal 1/48 binary64) #s(literal -1/16 binary64))) (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))))))) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 c_p) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(fma.f64 c_p (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(fma.f64 c_p (-.f64 (*.f64 c_p (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (fma.f64 (*.f64 c_p #s(literal 1/6 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1/2 binary64)))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1 binary64)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 s)) |
(fma.f64 s #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
(fma.f64 s (fma.f64 #s(literal -1/48 binary64) (*.f64 s s) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) |
(fma.f64 s (fma.f64 s (*.f64 s (fma.f64 (*.f64 s s) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/ 1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 c_p t) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) (fma.f64 t (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 c_p t) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) (fma.f64 t (*.f64 (*.f64 c_p c_p) (fma.f64 c_p #s(literal 1/48 binary64) #s(literal -1/16 binary64))) (*.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(fma.f64 c_p (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(fma.f64 c_p (fma.f64 c_p (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) (fma.f64 (*.f64 c_p #s(literal 1/6 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1/2 binary64))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 s)) |
(fma.f64 s #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(fma.f64 s (fma.f64 s (*.f64 s #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(fma.f64 s (fma.f64 (*.f64 s s) (fma.f64 (*.f64 s s) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| 4 536× | lower-*.f32 |
| 4 532× | lower-*.f64 |
| 3 976× | lower-fma.f64 |
| 3 976× | lower-fma.f32 |
| 3 722× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 98 |
| 0 | 39 | 98 |
| 1 | 151 | 98 |
| 2 | 1022 | 93 |
| 0 | 8612 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p))))) |
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n))))) |
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(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))) |
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(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))) (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))) |
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(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))) |
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(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64)))) |
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(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))))) |
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(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64)))) |
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(pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 c_n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))) |
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(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 c_n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))) |
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(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 c_p))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) |
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(exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (*.f64 c_p #s(literal 1/2 binary64)))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (fma.f64 (neg.f64 c_p) #s(literal 1/2 binary64) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) c_p) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
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(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (*.f64 c_p #s(literal 1 binary64)))) |
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s))) (neg.f64 c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (neg.f64 c_p))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) c_p)) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 c_p #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (/.f64 (*.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (/.f64 (*.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64)))) |
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (*.f64 (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (neg.f64 (exp.f64 (neg.f64 s))))) |
(+.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64))))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (/.f64 (exp.f64 (neg.f64 s)) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 s)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (*.f64 (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (neg.f64 (exp.f64 (neg.f64 s))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 s) s)) (expm1.f64 (neg.f64 s))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 s) s)) (expm1.f64 (neg.f64 s)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 s #s(literal 3 binary64))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s))))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) |
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(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))))) (exp.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))))) (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) |
Compiled 32 421 to 1 813 computations (94.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 575 | 6 | 581 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 576 | 6 | 582 |
| Status | Accuracy | Program |
|---|---|---|
| 94.6% | (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))) | |
| ▶ | 93.9% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| ▶ | 97.7% | (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
| ▶ | 94.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
| ▶ | 96.0% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| ▶ | 94.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) |
Compiled 416 to 250 computations (39.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) | |
| cost-diff | 576 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 6208 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) | |
| cost-diff | 128 | (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| cost-diff | 576 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| cost-diff | 6464 | (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) | |
| cost-diff | 576 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| cost-diff | 576 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 6720 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)) | |
| cost-diff | 0 | (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) | |
| cost-diff | 0 | (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) | |
| cost-diff | 256 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) | |
| cost-diff | 17664 | (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
| 4 382× | lower-fma.f32 |
| 4 380× | lower-fma.f64 |
| 2 240× | lower-*.f32 |
| 2 230× | lower-*.f64 |
| 1 382× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 872 |
| 0 | 119 | 872 |
| 1 | 175 | 869 |
| 2 | 304 | 866 |
| 3 | 508 | 844 |
| 4 | 864 | 772 |
| 5 | 1422 | 769 |
| 6 | 2536 | 769 |
| 7 | 3891 | 769 |
| 8 | 5202 | 769 |
| 9 | 5998 | 769 |
| 10 | 6875 | 769 |
| 11 | 7463 | 769 |
| 12 | 7839 | 769 |
| 0 | 8006 | 731 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
c_p |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
c_n |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal -1 binary64) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
c_p |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
c_n |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
| Outputs |
|---|
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n)) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
c_p |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))))) |
c_n |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal -1 binary64) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 c_p)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n)) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) c_p)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) c_p))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
c_p |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) c_p))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
c_n |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.9765735042033008 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 2.624473997268216 | #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.03344625946961357 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.5000055021016504 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| accuracy | 0.5000055021016504 | (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| accuracy | 0.015625 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| accuracy | 0.015625 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.12065388782268008 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 0.4921930021016504 | (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) | |
| accuracy | 0.06304559082912821 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) | |
| accuracy | 0.24218199386619269 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.4843805021016504 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)) | |
| accuracy | 0.24596310944647565 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 0.49195798615038155 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 53.40574486813332 | (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) | |
| accuracy | 53.425111948884556 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
| 263.0ms | 202× | 1 | valid |
| 35.0ms | 15× | 2 | valid |
| 21.0ms | 4× | 4 | exit |
| 16.0ms | 26× | 0 | valid |
| 3.0ms | 6× | 1 | exit |
| 1.0ms | 3× | 0 | exit |
Compiled 836 to 53 computations (93.7% saved)
ival-log1p: 48.0ms (18.2% of total)ival-exp: 47.0ms (17.8% of total)ival-pow: 40.0ms (15.2% of total)adjust: 31.0ms (11.8% of total)ival-add: 29.0ms (11% of total)ival-div: 27.0ms (10.3% of total)ival-mult: 21.0ms (8% of total)ival-sub: 14.0ms (5.3% of total)ival-neg: 6.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (patch (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (patch (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (patch (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)) (patch (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (patch (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) (patch (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
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#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (patch (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 (neg.f64 t))) (patch (log1p.f64 (exp.f64 (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (patch (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (taylor 0 c_p) (#s(alt (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (patch (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) (taylor 0 c_p) (#s(alt (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (patch (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) (taylor 0 c_p) (#s(alt (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (patch (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) (taylor 0 c_p) (#s(alt (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (patch (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #<representation binary64>) () ())) ()) |
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174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 532.0ms | s | @ | 0 | (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) |
| 36.0ms | s | @ | inf | (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))))) |
| 34.0ms | t | @ | inf | (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))))) |
| 24.0ms | t | @ | -inf | (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))))) |
| 23.0ms | s | @ | -inf | (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))))) |
| 1× | egg-herbie |
| 9 482× | lower-fma.f64 |
| 9 482× | lower-fma.f32 |
| 7 246× | lower-+.f64 |
| 7 246× | lower-+.f32 |
| 6 146× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1083 | 33503 |
| 1 | 3339 | 30976 |
| 0 | 8142 | 28590 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(pow 1/2 c_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
1 |
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) |
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))) |
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
1/2 |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
1 |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(log (+ 1 (exp (neg s)))) |
(log (+ 1 (exp (neg s)))) |
(log (+ 1 (exp (neg s)))) |
(log (+ 1 (exp (neg s)))) |
(log (+ 1 (exp (* -1 s)))) |
(log (+ 1 (exp (* -1 s)))) |
(log (+ 1 (exp (* -1 s)))) |
(log (+ 1 (exp (* -1 s)))) |
(log 2) |
(+ (log 2) (* -1/2 t)) |
(+ (log 2) (* t (- (* 1/8 t) 1/2))) |
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
1/2 |
(+ 1/2 (* -1/4 t)) |
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4))) |
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(/ 1 (pow 1/2 c_n)) |
(+ (* 1/2 (/ (* c_p s) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))))))) (/ 1 (pow 1/2 c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (+ (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))) (* s (+ (* -1/16 (/ (pow c_p 2) (pow 1/2 c_n))) (* 1/48 (/ (pow c_p 3) (pow 1/2 c_n)))))))))) (/ 1 (pow 1/2 c_n))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ 1 (pow 1/2 c_n)) |
(+ (* c_p (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n)))) (/ 1 (pow 1/2 c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow 1/2 c_n))) (+ (* 1/2 (/ (pow (log 1/2) 2) (pow 1/2 c_n))) (* (log 1/2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n))))))) (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n))) (/ (log 1/2) (pow 1/2 c_n)))) (/ 1 (pow 1/2 c_n))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow 1/2 c_n))) (* c_p (- (* 1/6 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow 1/2 c_n))) (+ (* 1/6 (/ (pow (log 1/2) 3) (pow 1/2 c_n))) (+ (* 1/2 (* (pow (log 1/2) 2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n))))) (* (log 1/2) (- (* 1/2 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow 1/2 c_n))) (+ (* 1/2 (/ (pow (log 1/2) 2) (pow 1/2 c_n))) (* (log 1/2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n)))))))))))) (+ (* 1/2 (/ (pow (log 1/2) 2) (pow 1/2 c_n))) (* (log 1/2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n))))))) (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n))) (/ (log 1/2) (pow 1/2 c_n)))) (/ 1 (pow 1/2 c_n))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
(+ (* -1 (/ (* c_n (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* c_n (- (* -1 (* c_n (+ (* -1 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* 1/2 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log 1/2) (+ (* -1 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* 1/2 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/2 (/ (* (pow (log 1/2) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* 1/6 (/ (* (pow (log 1/2) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))))) (+ (* -1 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* 1/2 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
1 |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
1/2 |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
| Outputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(fma.f64 (*.f64 c_p (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 c_p (fma.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 c_p (fma.f64 c_p (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64))))) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))) |
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(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
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(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* 1/6 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 3)) (* (+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2))))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
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(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
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(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
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1 |
#s(literal 1 binary64) |
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(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
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(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
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(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) |
(fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))) |
(fma.f64 c_n (fma.f64 (*.f64 c_n #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))) |
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(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 s)) |
(fma.f64 s #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(fma.f64 s (fma.f64 (*.f64 s s) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
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(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
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(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 s)) |
(fma.f64 s #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
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(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1/2 s)) |
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(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1/2 t)) |
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(fma.f64 t (fma.f64 t #s(literal 1/8 binary64) #s(literal -1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
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(log (+ 1 (exp (neg t)))) |
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(log (+ 1 (exp (* -1 t)))) |
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(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 t)) |
(fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4))) |
(fma.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
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(/ 1 (pow 1/2 c_n)) |
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(+ (* 1/2 (/ (* c_p s) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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1 |
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 s)) |
(fma.f64 s #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(fma.f64 s (fma.f64 (*.f64 s s) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(fma.f64 s (fma.f64 (*.f64 s s) (fma.f64 (*.f64 s s) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| 3 446× | lower-*.f32 |
| 3 436× | lower-*.f64 |
| 2 498× | lower-/.f32 |
| 2 482× | lower-/.f64 |
| 2 106× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 537 |
| 0 | 119 | 512 |
| 1 | 399 | 484 |
| 2 | 2849 | 445 |
| 0 | 8657 | 442 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| Outputs |
|---|
(exp.f64 (fma.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (-.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p)) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p))) (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(exp.f64 (+.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (-.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p)) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p))))) |
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p))))) |
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p))))) |
(exp.f64 (-.f64 (-.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (*.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (-.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) (neg.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)))) (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)))) (neg.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p))) |
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (+.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (+.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))) |
Compiled 78 985 to 3 730 computations (95.3% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 726 | 9 | 1 735 |
| Fresh | 1 | 0 | 1 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 732 | 9 | 1 741 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.5% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
| 92.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) | |
| 94.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) #s(literal 1/2 binary64)) c_n))) | |
| ▶ | 95.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 93.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (fma.f64 s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) | |
| ▶ | 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
| ▶ | 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
| ▶ | 95.0% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
| 94.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
Compiled 410 to 272 computations (33.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) | |
| cost-diff | 0 | (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| cost-diff | 0 | (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p)))) | |
| cost-diff | 0 | #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) | |
| cost-diff | 0 | (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) | |
| cost-diff | 0 | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
| 20 320× | lower-fma.f32 |
| 20 306× | lower-fma.f64 |
| 3 544× | lower-*.f32 |
| 3 534× | lower-*.f64 |
| 3 364× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 970 |
| 0 | 133 | 970 |
| 1 | 227 | 968 |
| 2 | 481 | 962 |
| 3 | 1156 | 962 |
| 4 | 3522 | 962 |
| 5 | 5635 | 962 |
| 6 | 6434 | 962 |
| 0 | 8461 | 946 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
c_n |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
s |
(fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) |
#s(literal -1/4 binary64) |
(*.f64 c_n c_p) |
c_n |
c_p |
(fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p)))) |
#s(literal -1/8 binary64) |
(+.f64 c_n c_p) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
#s(literal 1/8 binary64) |
(fma.f64 c_n c_n (*.f64 c_p c_p)) |
(*.f64 c_p c_p) |
(fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 c_p #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) |
#s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
c_n |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))))) |
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))))) |
c_n |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (fma.f64 s (fma.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) (*.f64 c_n #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (fma.f64 s (fma.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) (*.f64 c_n #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (fma.f64 s (fma.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) (*.f64 c_n #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
s |
(fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(fma.f64 c_p #s(literal 1/2 binary64) (fma.f64 s (fma.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) (*.f64 c_n #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) |
(fma.f64 c_p (*.f64 c_p #s(literal 1/8 binary64)) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) |
#s(literal -1/4 binary64) |
(*.f64 c_n c_p) |
(*.f64 c_p c_n) |
c_n |
c_p |
(fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p)))) |
(fma.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))) |
#s(literal -1/8 binary64) |
(+.f64 c_n c_p) |
(+.f64 c_p c_n) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n))) |
#s(literal 1/8 binary64) |
(fma.f64 c_n c_n (*.f64 c_p c_p)) |
(fma.f64 c_p c_p (*.f64 c_n c_n)) |
(*.f64 c_p c_p) |
(fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) |
(fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 c_p #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) |
#s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))) |
#s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
c_n |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | |
| accuracy | 0.02734375 | (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.12065388782268008 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) | |
| accuracy | 53.40574486813339 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) | |
| accuracy | 0.015625 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| accuracy | 0.12065388782268008 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 0.4921930021016504 | (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) | |
| accuracy | 2.1267675496272296 | #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p)))) | |
| accuracy | 0.03344625946961357 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) | |
| accuracy | 0.06304559082912821 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) | |
| accuracy | 0.12065388782268008 | #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.03515625 | (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) | |
| accuracy | 22.029949136017695 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) | |
| accuracy | 53.40574486813339 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
| 438.0ms | 186× | 1 | valid |
| 105.0ms | 31× | 2 | valid |
| 58.0ms | 4× | 4 | exit |
| 14.0ms | 26× | 0 | valid |
| 4.0ms | 6× | 1 | exit |
| 2.0ms | 3× | 0 | exit |
Compiled 768 to 78 computations (89.8% saved)
ival-log1p: 130.0ms (23.1% of total)ival-exp: 121.0ms (21.5% of total)ival-pow: 90.0ms (16% of total)adjust: 86.0ms (15.3% of total)ival-mult: 54.0ms (9.6% of total)ival-div: 29.0ms (5.1% of total)ival-add: 28.0ms (5% of total)ival-sub: 14.0ms (2.5% of total)ival-neg: 11.0ms (2% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (patch #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) (patch (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (patch (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64)) (patch #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p)))) (patch (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p)))) #<representation binary64>) () ()) |
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#s(alt #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (patch #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (patch (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (patch (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (patch (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) (patch #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
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#s(alt (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) (patch (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (patch (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | c_n | @ | 0 | (* c_n (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))) |
| 4.0ms | c_n | @ | 0 | (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))))) |
| 1.0ms | s | @ | 0 | (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) |
| 1.0ms | s | @ | inf | (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) |
| 1.0ms | c_n | @ | 0 | (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) |
| 1× | egg-herbie |
| 9 836× | lower-fma.f64 |
| 9 836× | lower-fma.f32 |
| 7 800× | lower-+.f64 |
| 7 800× | lower-+.f32 |
| 6 138× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1128 | 35261 |
| 1 | 3475 | 32805 |
| 0 | 8429 | 30100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) |
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* t (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (+ (* -1/2 c_p) (* 1/2 c_n))))) |
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* t (+ (* t (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2)))))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (+ (* -1/2 c_p) (* 1/2 c_n)))))) |
(+ (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (* t (+ (* t (+ (* t (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (+ (* 1/6 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 3)) (* (+ (* -1/2 c_p) (* 1/2 c_n)) (+ (* 1/8 c_n) (* 1/8 c_p)))))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_p) (* 1/2 c_n)) 2))))))) (* (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) (+ (* -1/2 c_p) (* 1/2 c_n)))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))) |
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(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
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(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
1 |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
(+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
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(+ (* c_n (- (+ (* c_n (- (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* c_n (- (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (+ (* 1/6 (/ (* (pow (log 1/2) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (+ (* 1/2 (* (pow (log 1/2) 2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* (log 1/2) (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* (log 1/2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))))))))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* (log 1/2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
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(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/6 (/ (* (pow (log 1/2) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/2 (* (pow (log 1/2) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* (log 1/2) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* (log 1/2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* (log 1/2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
1 |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (+ (* c_n (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(* 1/8 (* (pow c_n 2) (pow s 2))) |
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1 |
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(pow 1/2 c_n) |
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(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
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1 |
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(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
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(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
1/2 |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
1 |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))))))) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
1 |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ 1 c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ 1 c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ 1 c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* -1 (* c_n (- (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (/ 1 c_n)))) |
(* -1 (* c_n (- (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (/ 1 c_n)))) |
(* -1 (* c_n (- (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (/ 1 c_n)))) |
(+ 1 (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))) |
(+ 1 (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* -1/8 (* c_n s)))))) |
(+ 1 (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) |
(+ 1 (+ (* 1/2 (* c_n t)) (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))) |
(+ 1 (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/8 (* c_n t)) (* 1/2 c_n))))) |
(+ 1 (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 s)) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (* -1/4 c_p) 1/8)))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (+ (* -1/4 c_p) (* 1/8 c_n)) 1/8)))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (+ (* -1/4 c_p) (* 1/8 c_n)) 1/8)))) |
(* 1/8 (pow c_n 2)) |
(* (pow c_n 2) (- (+ 1/8 (* -1/4 (/ c_p c_n))) (* 1/8 (/ 1 c_n)))) |
(* (pow c_n 2) (- (+ 1/8 (+ (* -1/4 (/ c_p c_n)) (+ (* -1/8 (/ c_p (pow c_n 2))) (* 1/8 (/ (pow c_p 2) (pow c_n 2)))))) (* 1/8 (/ 1 c_n)))) |
(* (pow c_n 2) (- (+ 1/8 (+ (* -1/4 (/ c_p c_n)) (+ (* -1/8 (/ c_p (pow c_n 2))) (* 1/8 (/ (pow c_p 2) (pow c_n 2)))))) (* 1/8 (/ 1 c_n)))) |
(* 1/8 (pow c_n 2)) |
(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (* 1/4 c_p)) c_n)))) |
(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) c_n)) (* 1/4 c_p))) c_n)))) |
(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) c_n)) (* 1/4 c_p))) c_n)))) |
(+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) |
(+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* c_p (- (* -1/4 c_n) 1/8)))) |
(+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* c_p (- (+ (* -1/4 c_n) (* 1/8 c_p)) 1/8)))) |
(+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* c_p (- (+ (* -1/4 c_n) (* 1/8 c_p)) 1/8)))) |
(* 1/8 (pow c_p 2)) |
(* (pow c_p 2) (- (+ 1/8 (* -1/4 (/ c_n c_p))) (* 1/8 (/ 1 c_p)))) |
(* (pow c_p 2) (- (+ 1/8 (+ (* -1/4 (/ c_n c_p)) (+ (* -1/8 (/ c_n (pow c_p 2))) (* 1/8 (/ (pow c_n 2) (pow c_p 2)))))) (* 1/8 (/ 1 c_p)))) |
(* (pow c_p 2) (- (+ 1/8 (+ (* -1/4 (/ c_n c_p)) (+ (* -1/8 (/ c_n (pow c_p 2))) (* 1/8 (/ (pow c_n 2) (pow c_p 2)))))) (* 1/8 (/ 1 c_p)))) |
(* 1/8 (pow c_p 2)) |
(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (* 1/4 c_n)) c_p)))) |
(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) c_p)) (* 1/4 c_n))) c_p)))) |
(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) c_p)) (* 1/4 c_n))) c_p)))) |
(* 1/8 (pow c_p 2)) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(* 1/8 (pow c_n 2)) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(* 1/8 (pow c_n 2)) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(* 1/8 (pow c_n 2)) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(* 1/8 (pow c_p 2)) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(* 1/8 (pow c_p 2)) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
1/2 |
(+ 1/2 (* -1/4 t)) |
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4))) |
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
-1/2 |
(- (* -1/4 s) 1/2) |
(- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2) |
(- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2) |
(/ -1 (+ 1 (exp (neg s)))) |
(/ -1 (+ 1 (exp (neg s)))) |
(/ -1 (+ 1 (exp (neg s)))) |
(/ -1 (+ 1 (exp (neg s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
| Outputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(fma.f64 c_p (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 c_p (fma.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 c_p (fma.f64 c_p (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64))))) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(fma.f64 s (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
(fma.f64 s (fma.f64 s (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* 1/6 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 3)) (* (+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2))))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
(fma.f64 s (fma.f64 s (fma.f64 s (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))))) (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))))) (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (*.f64 c_p (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
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(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
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(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
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(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
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(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* c_n (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
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(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
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(* 1/8 (* (pow c_n 2) (pow s 2))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s)) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))) |
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(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
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(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
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(* 1/8 (* (pow c_n 2) (pow s 2))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s)) |
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) |
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(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
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(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
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(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) |
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(+ 1 (+ (* c_p (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
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(* 1/8 (* (pow c_p 2) (pow s 2))) |
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(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
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(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
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(* 1/8 (* (pow c_p 2) (pow s 2))) |
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(* (pow c_p 2) (+ (* -1 (/ (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2)) c_p)) (* 1/8 (pow s 2)))) |
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(* (pow c_p 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) c_p)) (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2))) c_p)) (* 1/8 (pow s 2)))) |
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(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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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 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(log 1/2) |
(log.f64 #s(literal 1/2 binary64)) |
(+ (log 1/2) (* -1/2 s)) |
(fma.f64 s #s(literal -1/2 binary64) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(fma.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
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(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
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(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
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(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
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(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
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(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
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(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (* -1/4 c_p) 1/8)))) |
(fma.f64 c_p #s(literal -1/8 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_n (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (+ (* -1/4 c_p) (* 1/8 c_n)) 1/8)))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (+ (* -1/4 c_p) (* 1/8 c_n)) 1/8)))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) (fma.f64 c_p #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (*.f64 c_p #s(literal -1/8 binary64)))) |
(* 1/8 (pow c_n 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
(* (pow c_n 2) (- (+ 1/8 (* -1/4 (/ c_p c_n))) (* 1/8 (/ 1 c_n)))) |
(*.f64 (*.f64 c_n c_n) (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 c_p c_n) (/.f64 #s(literal -1/8 binary64) c_n)))) |
(* (pow c_n 2) (- (+ 1/8 (+ (* -1/4 (/ c_p c_n)) (+ (* -1/8 (/ c_p (pow c_n 2))) (* 1/8 (/ (pow c_p 2) (pow c_n 2)))))) (* 1/8 (/ 1 c_n)))) |
(*.f64 (*.f64 c_n c_n) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 c_p c_n) (fma.f64 #s(literal -1/8 binary64) (/.f64 c_p (*.f64 c_n c_n)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) c_n))) |
(* (pow c_n 2) (- (+ 1/8 (+ (* -1/4 (/ c_p c_n)) (+ (* -1/8 (/ c_p (pow c_n 2))) (* 1/8 (/ (pow c_p 2) (pow c_n 2)))))) (* 1/8 (/ 1 c_n)))) |
(*.f64 (*.f64 c_n c_n) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 c_p c_n) (fma.f64 #s(literal -1/8 binary64) (/.f64 c_p (*.f64 c_n c_n)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) c_n))) |
(* 1/8 (pow c_n 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (* 1/4 c_p)) c_n)))) |
(*.f64 (*.f64 c_n c_n) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 c_p #s(literal 1/4 binary64) #s(literal 1/8 binary64)) c_n))) |
(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) c_n)) (* 1/4 c_p))) c_n)))) |
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(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) c_n)) (* 1/4 c_p))) c_n)))) |
(*.f64 (*.f64 c_n c_n) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 c_p #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) c_n))) c_n))) |
(+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) |
(fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) |
(+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* c_p (- (* -1/4 c_n) 1/8)))) |
(fma.f64 c_n #s(literal -1/8 binary64) (fma.f64 c_p (fma.f64 c_n #s(literal -1/4 binary64) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)))) |
(+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* c_p (- (+ (* -1/4 c_n) (* 1/8 c_p)) 1/8)))) |
(fma.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) (fma.f64 c_n #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)))) |
(+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* c_p (- (+ (* -1/4 c_n) (* 1/8 c_p)) 1/8)))) |
(fma.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) (fma.f64 c_n #s(literal -1/4 binary64) #s(literal -1/8 binary64))) (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)))) |
(* 1/8 (pow c_p 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) |
(* (pow c_p 2) (- (+ 1/8 (* -1/4 (/ c_n c_p))) (* 1/8 (/ 1 c_p)))) |
(*.f64 (*.f64 c_p c_p) (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 c_n c_p) (/.f64 #s(literal -1/8 binary64) c_p)))) |
(* (pow c_p 2) (- (+ 1/8 (+ (* -1/4 (/ c_n c_p)) (+ (* -1/8 (/ c_n (pow c_p 2))) (* 1/8 (/ (pow c_n 2) (pow c_p 2)))))) (* 1/8 (/ 1 c_p)))) |
(*.f64 (*.f64 c_p c_p) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (/.f64 c_n (*.f64 c_p c_p)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) c_p))) |
(* (pow c_p 2) (- (+ 1/8 (+ (* -1/4 (/ c_n c_p)) (+ (* -1/8 (/ c_n (pow c_p 2))) (* 1/8 (/ (pow c_n 2) (pow c_p 2)))))) (* 1/8 (/ 1 c_p)))) |
(*.f64 (*.f64 c_p c_p) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (/.f64 c_n (*.f64 c_p c_p)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) c_p))) |
(* 1/8 (pow c_p 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (* 1/4 c_n)) c_p)))) |
(*.f64 (*.f64 c_p c_p) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 c_n #s(literal 1/4 binary64) #s(literal 1/8 binary64)) c_p))) |
(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) c_p)) (* 1/4 c_n))) c_p)))) |
(*.f64 (*.f64 c_p c_p) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 c_n #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) c_p))) c_p))) |
(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) c_p)) (* 1/4 c_n))) c_p)))) |
(*.f64 (*.f64 c_p c_p) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 c_n #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) c_p))) c_p))) |
(* 1/8 (pow c_p 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(* 1/8 (pow c_n 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64))) |
(* 1/8 (pow c_n 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64))) |
(* (pow c_n 2) (+ 1/8 (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) |
(*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_p c_p) (*.f64 c_n c_n)) #s(literal 1/8 binary64))) |
(* 1/8 (pow c_n 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(* 1/8 (pow c_p 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64))) |
(* 1/8 (pow c_p 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64))) |
(* (pow c_p 2) (+ 1/8 (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) |
(*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 c_n c_n) (*.f64 c_p c_p)) #s(literal 1/8 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 t)) |
(fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4))) |
(fma.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
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(- 1 (/ 1 (+ 1 (exp (neg t))))) |
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(- 1 (/ 1 (+ 1 (exp (neg t))))) |
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(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
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(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
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(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/4 s) 1/2) |
(fma.f64 s #s(literal -1/4 binary64) #s(literal -1/2 binary64)) |
(- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2) |
(fma.f64 s (fma.f64 (*.f64 s s) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) |
(- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2) |
(fma.f64 s (fma.f64 (*.f64 s s) (fma.f64 (*.f64 s s) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)) |
(/ -1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ -1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ -1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ -1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/ -1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 4 298× | lower-*.f32 |
| 4 288× | lower-*.f64 |
| 3 208× | lower-fma.f32 |
| 3 194× | lower-fma.f64 |
| 2 840× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 765 |
| 0 | 133 | 761 |
| 1 | 555 | 749 |
| 2 | 4699 | 749 |
| 0 | 8125 | 698 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) |
#s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))) |
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))) (*.f64 c_n (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(+.f64 (*.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))) (*.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n)) |
(fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 c_n (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (*.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n)) |
(fma.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n (*.f64 c_n (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(fma.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n (*.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) c_n)) |
(/.f64 (*.f64 c_n (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 c_n (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 3 binary64))) c_n) (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64))) c_n) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(*.f64 c_n (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) #s(literal 1 binary64))) |
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) c_n) |
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) (*.f64 c_n #s(literal 1 binary64))) |
(*.f64 (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) #s(literal 1 binary64)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) |
(+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(+.f64 (neg.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))))) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))))) |
(-.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 t) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 s) #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) #s(literal -1 binary64))) |
Compiled 49 573 to 2 123 computations (95.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 109 | 8 | 1 117 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 115 | 11 | 1 126 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.5% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
| ▶ | 92.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
| 94.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) #s(literal 1/2 binary64)) c_n))) | |
| 95.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) (fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64))) c_n))) | |
| ✓ | 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
| 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 #s(approx (/ -1 (+ 1 (exp (neg s)))) #s(literal -1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) | |
| ▶ | 94.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
| ▶ | 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
| 94.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) | |
| ▶ | 3.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
| 4.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
Compiled 385 to 251 computations (34.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| cost-diff | 320 | (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) | |
| cost-diff | 320 | (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)) | |
| cost-diff | 0 | #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) | |
| cost-diff | 0 | #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) | |
| cost-diff | 0 | (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
| 20 446× | lower-fma.f32 |
| 20 436× | lower-fma.f64 |
| 3 686× | lower-*.f32 |
| 3 670× | lower-*.f64 |
| 3 462× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1106 |
| 0 | 140 | 1100 |
| 1 | 268 | 1092 |
| 2 | 611 | 1086 |
| 3 | 1410 | 1081 |
| 4 | 3616 | 1081 |
| 5 | 5506 | 1081 |
| 6 | 6274 | 1081 |
| 0 | 8287 | 1012 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) |
(*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) |
c_n |
#s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(log.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
s |
(fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) |
c_p |
#s(literal 1/2 binary64) |
(*.f64 c_n #s(literal -1/2 binary64)) |
c_n |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)))) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) |
#s(literal 1/8 binary64) |
(*.f64 c_p c_p) |
c_p |
(*.f64 s s) |
s |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
s |
(fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) |
(fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) |
c_n |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
#s(literal 1/8 binary64) |
(*.f64 c_n c_n) |
(*.f64 c_n #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) |
(*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) |
(*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) |
c_n |
#s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) |
#s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal -1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(log.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
s |
(fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) |
c_p |
#s(literal 1/2 binary64) |
(*.f64 c_n #s(literal -1/2 binary64)) |
c_n |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 s (*.f64 c_p (*.f64 c_p (*.f64 s #s(literal 1/8 binary64)))))))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 s (*.f64 c_p (*.f64 c_p (*.f64 s #s(literal 1/8 binary64))))))) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 s (*.f64 c_p (*.f64 c_p (*.f64 s #s(literal 1/8 binary64)))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)) |
(*.f64 s (*.f64 c_p (*.f64 c_p (*.f64 s #s(literal 1/8 binary64))))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) |
(*.f64 c_p (*.f64 c_p #s(literal 1/8 binary64))) |
#s(literal 1/8 binary64) |
(*.f64 c_p c_p) |
c_p |
(*.f64 s s) |
s |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 s (*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
s |
(fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) |
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) |
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) |
c_n |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
(*.f64 c_n (*.f64 c_n #s(literal 1/8 binary64))) |
#s(literal 1/8 binary64) |
(*.f64 c_n c_n) |
(*.f64 c_n #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06304559082912821 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.4843805021016504 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))) | |
| accuracy | 2.624473997268216 | #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) | |
| accuracy | 0.01171875 | (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) | |
| accuracy | 0.03344625946961357 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| accuracy | 0.12065388782268008 | #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0 | #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)))) | |
| accuracy | 0.03344625946961357 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) | |
| accuracy | 0.1874080160767322 | (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)) | |
| accuracy | 58.5452283766771 | #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) | |
| accuracy | 0 | (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) | |
| accuracy | 0 | (*.f64 c_n #s(literal -1/2 binary64)) | |
| accuracy | 0.03344625946961357 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) | |
| accuracy | 0.07093853662419745 | #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0.03515625 | (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) | |
| accuracy | 22.029949136017695 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) | |
| accuracy | 30.30077194000528 | #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 54.42806572064606 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) |
| 297.0ms | 91× | 2 | valid |
| 208.0ms | 139× | 1 | valid |
| 24.0ms | 4× | 4 | exit |
| 7.0ms | 7× | 1 | exit |
| 7.0ms | 12× | 0 | valid |
| 2.0ms | 3× | 0 | exit |
Compiled 672 to 89 computations (86.8% saved)
ival-log1p: 113.0ms (23.7% of total)adjust: 73.0ms (15.3% of total)ival-pow: 67.0ms (14.1% of total)ival-exp: 64.0ms (13.4% of total)ival-mult: 55.0ms (11.5% of total)ival-div: 35.0ms (7.3% of total)ival-add: 31.0ms (6.5% of total)ival-sub: 18.0ms (3.8% of total)ival-log: 13.0ms (2.7% of total)ival-neg: 7.0ms (1.5% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) (patch #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) (patch (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) (patch #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (patch (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)))) (patch #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)) #<representation binary64>) () ()) |
#s(alt (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) (patch (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (patch (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (patch #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
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#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) (patch (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 c_n #s(literal -1/2 binary64)) (patch (*.f64 c_n #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (patch (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (taylor 0 c_p) (#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) (taylor 0 c_p) (#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) (taylor 0 c_p) (#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) (taylor 0 c_p) (#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) (taylor -inf s) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) (taylor -inf s) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) (taylor -inf s) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) (taylor 0 c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* c_n (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) (taylor 0 c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) (taylor 0 c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) (taylor 0 c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (* (pow c_n 2) (pow s 2))) (taylor inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))) (taylor inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) (taylor inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) (taylor inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (* (pow c_n 2) (pow s 2))) (taylor -inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) (taylor -inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) (taylor -inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) (taylor -inf c_n) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) (taylor 0 c_p) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* c_p (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) (taylor 0 c_p) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* c_p (+ (* 1/8 (* c_p (pow s 2))) (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) (taylor 0 c_p) (#s(alt #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) (patch #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) #<representation binary64>) () ())) ()) |
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195 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | s | @ | 0 | (* (* 1/8 (* c_p c_p)) (* s s)) |
| 1.0ms | c_p | @ | 0 | (* (* 1/8 (* c_p c_p)) (* s s)) |
| 0.0ms | s | @ | 0 | (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) |
| 0.0ms | s | @ | inf | (* (* 1/8 (* c_p c_p)) (* s s)) |
| 0.0ms | s | @ | -inf | (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) |
| 1× | egg-herbie |
| 12 718× | lower-fma.f64 |
| 12 718× | lower-fma.f32 |
| 7 660× | lower-*.f64 |
| 7 660× | lower-*.f32 |
| 6 806× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1019 | 36978 |
| 1 | 3216 | 33973 |
| 0 | 9241 | 31266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
1 |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
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(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
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(+ (* c_n (- (+ (* c_n (- (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* c_n (- (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (+ (* 1/6 (/ (* (pow (log 1/2) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (+ (* 1/2 (* (pow (log 1/2) 2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* (log 1/2) (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* (log 1/2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))))))))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (* (log 1/2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (log 1/2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
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(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/6 (/ (* (pow (log 1/2) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/2 (* (pow (log 1/2) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* (log 1/2) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* (log 1/2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* (log 1/2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
1 |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (+ (* c_n (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(* 1/8 (* (pow c_n 2) (pow s 2))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
(* 1/8 (* (pow c_n 2) (pow s 2))) |
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
1 |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
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(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
1 |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
1/2 |
(+ 1/2 (* 1/4 s)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(* -1/2 s) |
(* s (- (* -1/8 s) 1/2)) |
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
(* s (- (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)) 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
(* -1/2 c_n) |
1 |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (+ (* c_n (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(* 1/8 (* (pow c_n 2) (pow s 2))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
(* 1/8 (* (pow c_n 2) (pow s 2))) |
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) |
(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) |
(+ 1 (+ (* c_p (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
(+ 1 (+ (* c_p (+ (* 1/8 (* c_p (pow s 2))) (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
(+ 1 (+ (* c_p (+ (* 1/8 (* c_p (pow s 2))) (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
(* 1/8 (* (pow c_p 2) (pow s 2))) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p))) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
(* 1/8 (* (pow c_p 2) (pow s 2))) |
(* (pow c_p 2) (+ (* -1 (/ (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2)) c_p)) (* 1/8 (pow s 2)))) |
(* (pow c_p 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) c_p)) (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2))) c_p)) (* 1/8 (pow s 2)))) |
(* (pow c_p 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) c_p)) (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2))) c_p)) (* 1/8 (pow s 2)))) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(* 1/8 (pow c_n 2)) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
1 |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
| Outputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(fma.f64 c_p (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 c_p (fma.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 c_p (fma.f64 c_p (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))) (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(fma.f64 s (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
(fma.f64 s (fma.f64 (*.f64 s (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* 1/6 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 3)) (* (+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2))))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
(fma.f64 s (fma.f64 s (fma.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))) (*.f64 (*.f64 s (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) (*.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) (*.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))) (*.f64 (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) (exp.f64 (fma.f64 c_n (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) |
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1 |
#s(literal 1 binary64) |
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1 |
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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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(*.f64 c_n #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
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(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
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(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
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(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
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(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
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(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
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(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
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(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
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(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
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(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
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(* 1/8 (* (pow c_n 2) (pow s 2))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s)) |
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(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
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(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
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(* 1/8 (* (pow c_n 2) (pow s 2))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s)) |
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) |
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(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
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(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
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(fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 s (*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))))) (fma.f64 (*.f64 s c_p) (fma.f64 s (fma.f64 c_n #s(literal -1/4 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* c_p (+ (* 1/8 (* c_p (pow s 2))) (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
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(* 1/8 (* (pow c_p 2) (pow s 2))) |
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(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
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(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
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(* 1/8 (* (pow c_p 2) (pow s 2))) |
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(* (pow c_p 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) c_p)) (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2))) c_p)) (* 1/8 (pow s 2)))) |
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(* (pow c_p 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) c_p)) (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2))) c_p)) (* 1/8 (pow s 2)))) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(fma.f64 c_p (-.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(fma.f64 c_p (fma.f64 c_p (fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64)))) c_p (*.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
| 4 958× | lower-*.f32 |
| 4 942× | lower-*.f64 |
| 4 448× | lower-fma.f32 |
| 4 438× | lower-fma.f64 |
| 2 408× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1013 |
| 0 | 140 | 993 |
| 1 | 627 | 976 |
| 2 | 5344 | 976 |
| 0 | 8491 | 870 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))))) |
(*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))) |
#s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)))) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s)) |
(fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) |
(fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) |
(*.f64 c_n #s(literal -1/2 binary64)) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))))) |
(*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))))) |
(*.f64 #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) c_n) |
#s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(+.f64 (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s)) (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 c_p (*.f64 #s(literal 1/2 binary64) s))) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal -1 binary64)))) |
(fma.f64 c_p (*.f64 #s(literal 1/2 binary64) s) (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 s (*.f64 c_p #s(literal 1/2 binary64)) (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 c_p s) (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 s #s(literal 1/2 binary64)) c_p (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) (fma.f64 (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) (*.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) (*.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) (-.f64 (fma.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) (*.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))))) |
(/.f64 (fma.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))) (*.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 s (*.f64 (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (*.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))))) |
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#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 s (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))))))) |
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(-.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (log.f64 #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (pow.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))))) |
(*.f64 c_n #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) c_n) |
#s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 c_n (*.f64 c_n #s(literal 1/8 binary64))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) |
(*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 c_n #s(literal 1/8 binary64)) c_n) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
Compiled 40 542 to 1 510 computations (96.3% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 029 | 13 | 1 042 |
| Fresh | 3 | 2 | 5 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 037 | 16 | 1 053 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) | |
| 97.5% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) | |
| 91.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ 1 (exp (neg s)))) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) | |
| 95.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) (fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64))) c_n))) | |
| ✓ | 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
| 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 #s(approx (/ -1 (+ 1 (exp (neg s)))) #s(literal -1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) | |
| 94.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) | |
| 94.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_p #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) | |
| 94.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) | |
| 3.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) | |
| 3.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) | |
| 5.1% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) | |
| 94.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) | |
| 3.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) | |
| 3.3% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
Compiled 906 to 288 computations (68.2% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_p #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ 1 (exp (neg s)))) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) (fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 #s(approx (/ -1 (+ 1 (exp (neg s)))) #s(literal -1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) #s(literal 1/2 binary64)) c_n))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (fma.f64 s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
13 calls:
| 46.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 25.0ms | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 15.0ms | (exp.f64 (neg.f64 s)) |
| 10.0ms | s |
| 10.0ms | (neg.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | c_p |
| 98.2% | 1 | c_n |
| 98.2% | 1 | t |
| 99.8% | 2 | s |
| 98.2% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 98.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 98.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 98.2% | 1 | (exp.f64 (neg.f64 s)) |
| 99.8% | 2 | (neg.f64 s) |
| 98.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 98.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 98.2% | 1 | (exp.f64 (neg.f64 t)) |
| 98.2% | 1 | (neg.f64 t) |
Compiled 133 to 94 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_p #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ 1 (exp (neg s)))) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) (fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 #s(approx (/ -1 (+ 1 (exp (neg s)))) #s(literal -1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) #s(literal 1/2 binary64)) c_n))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (fma.f64 s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
3 calls:
| 10.0ms | c_p |
| 10.0ms | (neg.f64 s) |
| 10.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | s |
| 99.8% | 2 | (neg.f64 s) |
| 98.2% | 1 | c_p |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_p #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ 1 (exp (neg s)))) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) (fma.f64 t #s(literal -1/4 binary64) #s(literal 1/2 binary64))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 #s(approx (/ -1 (+ 1 (exp (neg s)))) #s(literal -1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg s))))) #s(literal 1/2 binary64)) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(approx (+ 1 (/ -1 (+ 1 (exp (neg t))))) #s(literal 1/2 binary64)) c_n))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n)) (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (fma.f64 s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) |
13 calls:
| 31.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 21.0ms | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 15.0ms | s |
| 9.0ms | c_p |
| 9.0ms | c_n |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | c_p |
| 98.2% | 1 | c_n |
| 98.2% | 1 | t |
| 98.2% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 98.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 98.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 98.2% | 1 | (exp.f64 (neg.f64 s)) |
| 98.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 98.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 98.2% | 1 | (exp.f64 (neg.f64 t)) |
| 98.2% | 1 | (neg.f64 t) |
| 98.2% | 1 | s |
| 98.2% | 1 | (neg.f64 s) |
Compiled 133 to 94 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_p #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ 1 (exp (neg s)))) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
13 calls:
| 36.0ms | (exp.f64 (neg.f64 t)) |
| 36.0ms | t |
| 8.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 6.0ms | (neg.f64 t) |
| 6.0ms | c_n |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | c_p |
| 97.5% | 1 | c_n |
| 97.5% | 1 | t |
| 99.4% | 2 | s |
| 97.5% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 97.5% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 97.5% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 97.5% | 1 | (exp.f64 (neg.f64 s)) |
| 99.4% | 2 | (neg.f64 s) |
| 97.5% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 97.5% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 97.5% | 1 | (exp.f64 (neg.f64 t)) |
| 97.5% | 1 | (neg.f64 t) |
Compiled 133 to 94 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_p #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
13 calls:
| 36.0ms | s |
| 28.0ms | c_n |
| 25.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 6.0ms | t |
| 6.0ms | (neg.f64 s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 1 | c_n |
| 95.0% | 1 | t |
| 95.0% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 95.0% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 95.0% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 95.0% | 1 | c_p |
| 95.0% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 95.0% | 1 | (exp.f64 (neg.f64 s)) |
| 95.0% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 95.0% | 1 | (exp.f64 (neg.f64 t)) |
| 95.0% | 1 | (neg.f64 t) |
| 96.9% | 2 | s |
| 96.9% | 2 | (neg.f64 s) |
Compiled 133 to 94 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_n #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n))) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 c_p #s(literal -1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
2 calls:
| 5.0ms | s |
| 5.0ms | (neg.f64 s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | (neg.f64 s) |
| 96.8% | 2 | s |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 s (*.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p))) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 (*.f64 (*.f64 s s) (*.f64 c_p #s(literal 1/8 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) s))))))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) |
2 calls:
| 7.0ms | (neg.f64 s) |
| 5.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | s |
| 96.8% | 2 | (neg.f64 s) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
13 calls:
| 25.0ms | (exp.f64 (neg.f64 s)) |
| 3.0ms | (neg.f64 s) |
| 3.0ms | s |
| 3.0ms | (neg.f64 t) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | c_p |
| 94.9% | 1 | c_n |
| 94.9% | 1 | t |
| 94.9% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 94.9% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 94.9% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 94.9% | 1 | (exp.f64 (neg.f64 s)) |
| 94.9% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 94.9% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 94.9% | 1 | (exp.f64 (neg.f64 t)) |
| 94.9% | 1 | (neg.f64 t) |
| 94.9% | 1 | s |
| 94.9% | 1 | (neg.f64 s) |
Compiled 133 to 94 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s #s(approx (+ (* s (+ (* c_n -1/8) (* 1/8 (* c_n c_n)))) (* c_n -1/2)) (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
13 calls:
| 25.0ms | (exp.f64 (neg.f64 s)) |
| 5.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 3.0ms | (neg.f64 t) |
| 3.0ms | t |
| 3.0ms | c_p |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 94.9% | 1 | (exp.f64 (neg.f64 s)) |
| 94.9% | 1 | (neg.f64 s) |
| 94.9% | 1 | c_p |
| 94.9% | 1 | c_n |
| 94.9% | 1 | t |
| 94.9% | 1 | s |
| 94.9% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 94.9% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 94.9% | 1 | (neg.f64 t) |
| 94.9% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 94.9% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 94.9% | 1 | (exp.f64 (neg.f64 t)) |
Compiled 133 to 94 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
13 calls:
| 19.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 2.0ms | (neg.f64 t) |
| 2.0ms | t |
| 2.0ms | c_p |
| 2.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | c_n |
| 94.8% | 1 | s |
| 94.8% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 94.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 94.8% | 1 | c_p |
| 94.8% | 1 | t |
| 94.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 94.8% | 1 | (exp.f64 (neg.f64 s)) |
| 94.8% | 1 | (neg.f64 s) |
| 94.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 94.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 94.8% | 1 | (exp.f64 (neg.f64 t)) |
| 94.8% | 1 | (neg.f64 t) |
Compiled 133 to 94 computations (29.3% saved)
Total -58.9b remaining (-1766.5%)
Threshold costs -58.9b (-1766.5%)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_n #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* c_p 1/2) (* c_n -1/2))) 1) (*.f64 s (*.f64 c_p #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
13 calls:
| 24.0ms | c_n |
| 2.0ms | (neg.f64 s) |
| 2.0ms | s |
| 2.0ms | t |
| 2.0ms | (neg.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | c_p |
| 94.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 94.8% | 1 | (exp.f64 (neg.f64 s)) |
| 94.8% | 1 | (neg.f64 s) |
| 94.8% | 1 | c_n |
| 94.8% | 1 | t |
| 94.8% | 1 | s |
| 94.8% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 94.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 94.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 94.8% | 1 | (neg.f64 t) |
| 94.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 94.8% | 1 | (exp.f64 (neg.f64 t)) |
Compiled 133 to 94 computations (29.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.6158631818430634e-56 | 6.365720675974399e-55 |
| 2.0ms | 16× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 114 to 75 computations (34.2% saved)
ival-pow: 1.0ms (34.6% of total)adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 27748119.370655697 | 2.0470840550117032e+42 |
Compiled 49 to 29 computations (40.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 27748119.370655697 | 2.0470840550117032e+42 |
Compiled 49 to 29 computations (40.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.7s | -2.0470840550117032e+42 | -27748119.370655697 |
| 1.5s | 1 545× | 5 | exit |
| 31.0ms | 176× | 0 | valid |
Compiled 633 to 381 computations (39.8% saved)
adjust: 462.0ms (35.7% of total)ival-pow: 313.0ms (24.2% of total)ival-mult: 124.0ms (9.6% of total)ival-div: 122.0ms (9.4% of total)ival-exp: 106.0ms (8.2% of total)ival-sub: 73.0ms (5.6% of total)ival-add: 71.0ms (5.5% of total)ival-neg: 22.0ms (1.7% of total)ival-true: 2.0ms (0.2% of total)ival-assert: 1.0ms (0.1% of total)exact: 1.0ms (0.1% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.0470840550117032e+42 | -27748119.370655697 |
Compiled 501 to 304 computations (39.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 27748119.370655697 | 2.0470840550117032e+42 |
Compiled 49 to 29 computations (40.8% saved)
| 1× | egg-herbie |
| 86× | unsub-neg_binary64 |
| 52× | neg-mul-1_binary64 |
| 44× | *-commutative_binary64 |
| 34× | +-commutative_binary64 |
| 32× | distribute-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1532 |
| 1 | 207 | 1531 |
| 2 | 231 | 1530 |
| 3 | 259 | 1530 |
| 4 | 278 | 1530 |
| 5 | 289 | 1530 |
| 6 | 326 | 1530 |
| 7 | 369 | 1530 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c_p #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s)))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 c_p #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))) |
(if (<=.f64 c_p #s(literal 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) (exp.f64 (fma.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s)))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))) (*.f64 c_n #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))) #s(approx (- (log (+ 1 (/ -1 (+ 1 (exp (neg s)))))) (log 1/2)) (*.f64 s #s(literal -1/2 binary64))))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s (*.f64 c_n c_n)))))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_n c_p) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s (*.f64 c_n c_n))))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 s (fma.f64 #s(literal -1/4 binary64) (*.f64 c_p c_n) (fma.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n) (*.f64 #s(literal 1/8 binary64) (fma.f64 c_n c_n (*.f64 c_p c_p))))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s (*.f64 c_n c_n))))))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (fma.f64 s (fma.f64 s (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 s (*.f64 c_n c_n)) s)))))) |
(if (<=.f64 (neg.f64 s) #s(literal 50000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) #s(approx (+ (* s (+ (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (* c_n c_n) (* c_p c_p)))))) (+ (* c_n -1/2) (* c_p 1/2)))) 1) (*.f64 #s(literal 1/8 binary64) (*.f64 s (*.f64 s (*.f64 c_n c_n)))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (fma.f64 s #s(approx (+ (* c_p 1/2) (* c_n -1/2)) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) #s(literal 1 binary64))) |
| 13 540× | lower-fma.f64 |
| 13 540× | lower-fma.f32 |
| 12 718× | lower-fma.f64 |
| 12 718× | lower-fma.f32 |
| 9 836× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 98 |
| 0 | 39 | 98 |
| 1 | 151 | 98 |
| 2 | 1022 | 93 |
| 0 | 8612 | 81 |
| 0 | 1019 | 36978 |
| 1 | 3216 | 33973 |
| 0 | 9241 | 31266 |
| 0 | 401 | 6787 |
| 1 | 1259 | 6210 |
| 2 | 4638 | 5677 |
| 0 | 8598 | 5377 |
| 0 | 1083 | 33503 |
| 1 | 3339 | 30976 |
| 0 | 8142 | 28590 |
| 0 | 1128 | 35261 |
| 1 | 3475 | 32805 |
| 0 | 8429 | 30100 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 511 to 291 computations (43.1% saved)
Compiled 710 to 242 computations (65.9% saved)
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