
Time bar (total: 54.3s)
| 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)
| 31.1s | 7 527× | 5 | exit |
| 5.3s | 24 510× | 0 | exit |
| 1.6s | 8 064× | 0 | valid |
| 89.0ms | 9× | 4 | valid |
| 63.0ms | 149× | 1 | valid |
| 46.0ms | 14× | 3 | valid |
| 15.0ms | 20× | 2 | valid |
| 14.0ms | 30× | 1 | exit |
ival-pow: 27.3s (76.1% of total)adjust: 2.3s (6.4% of total)ival-div: 1.5s (4.2% of total)ival-exp: 1.1s (3% of total)ival-add: 1.1s (3% of total)ival-mult: 998.0ms (2.8% of total)ival-sub: 703.0ms (2% of total)ival-neg: 511.0ms (1.4% of total)ival-<: 249.0ms (0.7% of total)ival-and: 65.0ms (0.2% of total)exact: 61.0ms (0.2% of total)ival-assert: 16.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 15 | 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))) |
| 6 | 5 | (646.634629647057 4.468277656954511e-126 -2.73569114702245e-132 -1.1895600158392677e+301) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
| 2 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| 2 | 4 | (7.665080269678863e-47 2.35762900759989e+25 -24021343.69542815 -4.594596383983143e-291) | 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) |
| 1 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| 1 | 1 | (734.7031860006435 2.2841471859425578e-222 3.1399066639155594e-225 4.86197681455694e-283) | 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 | - | c_p |
| 0 | 0 | - | 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 | 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 | (0.12616786691907045 13254.790034657943 1.6915040028241607e-184 -7.725428090991424e+203) | 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 | 15 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 17 | |
| ↳ | (*.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 | 27 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 18 | |
| ↳ | (-.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 | 10 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 14 | |
| ↳ | (exp.f64 (neg.f64 t)) | underflow | 4 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 12 | |
| ↳ | (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 | 6 | |
| ↳ | (*.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 | 15 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | underflow | 2 | |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 9 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | uflow-rescue | 6 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 9 | |
| ↳ | (exp.f64 (neg.f64 t)) | underflow | 2 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 6 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | sensitivity | 5 | 0 |
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 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | cancellation | 2 | 0 |
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) | uflow-rescue | 2 | 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) | underflow | 6 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | underflow | 2 | |
| ↳ | (exp.f64 (neg.f64 t)) | underflow | 2 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 6 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | 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 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | uflow-rescue | 1 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 17 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 9 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 7 | |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 24 | 0 |
| - | 6 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 24 | 0 | 0 |
| - | 6 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 22 |
| 2 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 106.0ms | 490× | 0 | valid |
| 91.0ms | 2× | 4 | valid |
| 9.0ms | 12× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 411 to 70 computations (83% saved)
ival-pow: 114.0ms (71.1% of total)ival-div: 13.0ms (8.1% of total)ival-exp: 9.0ms (5.6% of total)ival-add: 6.0ms (3.7% of total)ival-mult: 6.0ms (3.7% of total)ival-sub: 5.0ms (3.1% of total)ival-neg: 5.0ms (3.1% of total)adjust: 2.0ms (1.2% of total)ival-true: 1.0ms (0.6% 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 (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) |
Compiled 43 to 22 computations (48.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.6% | (/.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 43 to 22 computations (48.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) | |
| 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)) |
| 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 (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) 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 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) (pow.f64 (/.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) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) 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 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) |
(-.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 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) 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 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) 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 |
(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 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) |
(-.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) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2561857536346347 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.48436398773238537 | (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 | 1.4530919631971562 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 3.667450538864786 | (/.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))) |
| 47.0ms | 245× | 0 | valid |
| 38.0ms | 1× | 4 | valid |
| 4.0ms | 6× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 184 to 24 computations (87% saved)
ival-pow: 51.0ms (67.1% of total)ival-div: 5.0ms (6.6% of total)ival-mult: 5.0ms (6.6% of total)ival-add: 4.0ms (5.3% of total)ival-exp: 4.0ms (5.3% of total)ival-sub: 2.0ms (2.6% of total)ival-neg: 2.0ms (2.6% of total)adjust: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<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 (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.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.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (patch (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>) () ()) |
| Outputs |
|---|
#s(alt (* (pow 1/2 c_n) (pow 1/2 c_p)) (taylor 0 s) (#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 (+ (* 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))) (taylor 0 s) (#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 (+ (* 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))) (taylor 0 s) (#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 (+ (* 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))) (taylor 0 s) (#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 1/2 c_p) (taylor 0 s) (#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 (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (taylor 0 s) (#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 (+ (* 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)) (taylor 0 s) (#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 (+ (* 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)) (taylor 0 s) (#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 1/2 (taylor 0 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 (+ 1/2 (* 1/4 s)) (taylor 0 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 (+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) (taylor 0 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 (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) (taylor 0 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 2 (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 s)) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* s (- (* 1/2 s) 1))) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
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#s(alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (taylor inf t) (#s(alt (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 (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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) (taylor -inf t) (#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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) (taylor -inf t) (#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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) (taylor -inf t) (#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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) (taylor -inf t) (#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 (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 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (taylor -inf t) (#s(alt (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 (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 (* -1 t))))) c_n) (taylor -inf t) (#s(alt (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 (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 (* -1 t))))) c_n) (taylor -inf t) (#s(alt (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 (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 (* -1 t))))) c_n) (taylor -inf t) (#s(alt (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 (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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 122.0ms | s | @ | inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 101.0ms | t | @ | inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 64.0ms | s | @ | -inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 58.0ms | t | @ | -inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 27.0ms | c_n | @ | inf | ((* (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) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 1× | egg-herbie |
| 14 304× | lower-fma.f64 |
| 14 304× | lower-fma.f32 |
| 7 020× | lower-*.f64 |
| 7 020× | lower-*.f32 |
| 5 294× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 7110 |
| 1 | 1360 | 6524 |
| 2 | 4954 | 5981 |
| 0 | 9047 | 5655 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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 1/2 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)) |
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))))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(/ (* (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 (* (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)))) |
(+ (* 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)))) |
(+ (* 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)))) |
(* (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) |
(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 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(/ 1 (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(+ 1 (exp (neg s))) |
(+ 1 (exp (neg s))) |
(+ 1 (exp (neg s))) |
(/ (* (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))) |
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1 |
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1 |
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1 |
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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 1/2 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 1/2 c_n) |
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -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 (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 (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 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg 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))) |
(/ (* (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 (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) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
| Outputs |
|---|
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* 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))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* 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))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p (fma.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64)) (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64)))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* 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))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (fma.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/48 binary64) c_p #s(literal -1/16 binary64)) (*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal -1/48 binary64) c_n #s(literal 1/16 binary64))))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p (fma.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64)) (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) 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) (fma.f64 (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))) s (*.f64 c_p #s(literal 1/2 binary64)))) s (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 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/48 binary64) c_p #s(literal -1/16 binary64))) s (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))))) s)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 s)) |
(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
(fma.f64 (fma.f64 (*.f64 s s) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 s s) #s(literal -1/48 binary64)) (*.f64 s s) #s(literal 1/4 binary64)) s #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 s)) |
(-.f64 #s(literal 2 binary64) s) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(/ (* (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 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #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)) |
(+ (* 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 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #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)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n))) s (/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #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))) |
(+ (* 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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(/ (* (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))) |
(*.f64 (/.f64 (pow.f64 (/.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 (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.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 (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.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 (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) 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 (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 (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.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 (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.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 (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.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 (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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
| 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 | 105 |
| 0 | 39 | 105 |
| 1 | 151 | 105 |
| 2 | 1022 | 100 |
| 0 | 8612 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(/.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.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 |
|---|
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Compiled 35 920 to 2 299 computations (93.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 8 | 687 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 680 | 8 | 688 |
| Status | Accuracy | Program |
|---|---|---|
| 91.4% | (/.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) c_n))) t (pow.f64 #s(literal 1/2 binary64) c_n))))) | |
| ▶ | 90.7% | (/.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
| 92.2% | (/.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))) | |
| ▶ | 89.1% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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))) |
| ▶ | 96.2% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))))) |
| ▶ | 96.2% | (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))) |
| ▶ | 91.4% | #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| 93.5% | #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) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
Compiled 564 to 376 computations (33.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (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 | 448 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))))) | |
| cost-diff | 960 | (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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)) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| cost-diff | 6720 | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| cost-diff | 1152 | (/.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) | |
| cost-diff | 12608 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 0 | (+.f64 (exp.f64 (neg.f64 s)) #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| cost-diff | 1024 | (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| cost-diff | 12608 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| 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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) | |
| cost-diff | 256 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
| 3 458× | lower-*.f32 |
| 3 442× | lower-*.f64 |
| 2 922× | lower-fma.f32 |
| 2 916× | lower-fma.f64 |
| 1 392× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 991 |
| 0 | 136 | 987 |
| 1 | 205 | 978 |
| 2 | 351 | 969 |
| 3 | 602 | 948 |
| 4 | 1085 | 900 |
| 5 | 1767 | 898 |
| 6 | 3917 | 897 |
| 7 | 5852 | 897 |
| 0 | 8081 | 864 |
| 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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))) |
(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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))) |
c_n |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(pow.f64 (-.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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(/.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)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
(*.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) |
(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 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) |
(*.f64 c_p #s(literal 1/2 binary64)) |
c_p |
#s(literal 1/2 binary64) |
s |
#s(literal 1 binary64) |
(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))))) |
(/.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))) |
(exp.f64 (neg.f64 s)) |
(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))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
c_n |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(pow.f64 (-.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 |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(pow.f64 (-.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 |
(*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (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))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))) |
(/.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) 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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n) |
c_n |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(pow.f64 (-.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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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))) (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow.f64 (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) (neg.f64 c_p)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow.f64 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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) (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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (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) (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)))) |
(exp.f64 (neg.f64 (log1p.f64 (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_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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) |
(/.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(exp.f64 (neg.f64 (log1p.f64 (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 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)))) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))) |
(fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) |
(*.f64 c_p #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) c_p) |
c_p |
#s(literal 1/2 binary64) |
s |
#s(literal 1 binary64) |
(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) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(+.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) |
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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(exp.f64 (neg.f64 (log1p.f64 (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 |
(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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))))) |
(/.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (neg.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t))))) c_p))) |
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(fma.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
c_n |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(pow.f64 (-.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 |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(pow.f64 (-.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 |
(*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
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))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24991779165271868 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 0.48810904853385945 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 51.330948637266125 | (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) | |
| accuracy | 51.390152707400986 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) | |
| accuracy | 0.05432379138909578 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| accuracy | 0.08614665672183622 | (-.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 t)))) c_p) | |
| accuracy | 1.9448039210690882 | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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))) | |
| accuracy | 0.2561857536346347 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 1.9448039210690882 | (/.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) | |
| accuracy | 2.0727608108225577 | #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) | |
| accuracy | 0.2561857536346347 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 0.2925895149276851 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.6992338802904245 | (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| accuracy | 0.24991779165271868 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 0.48810904853385945 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 51.330948637266125 | (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) | |
| accuracy | 51.390152707400986 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
| 329.0ms | 196× | 1 | valid |
| 30.0ms | 17× | 0 | exit |
| 22.0ms | 9× | 2 | valid |
| 21.0ms | 32× | 0 | valid |
| 18.0ms | 1× | 3 | exit |
| 2.0ms | 1× | 1 | exit |
Compiled 1 038 to 58 computations (94.4% saved)
ival-pow: 113.0ms (32% of total)adjust: 62.0ms (17.6% of total)ival-exp: 54.0ms (15.3% of total)ival-log1p: 45.0ms (12.8% of total)ival-div: 22.0ms (6.2% of total)ival-mult: 16.0ms (4.5% of total)ival-sub: 15.0ms (4.3% of total)ival-add: 14.0ms (4% of total)ival-neg: 11.0ms (3.1% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<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 (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #<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 (*.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) (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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #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>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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 #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 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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)) (patch (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) (patch (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.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_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) (patch (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (patch (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 (neg.f64 t))) (patch (log1p.f64 (exp.f64 (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) (patch #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #<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>) () ()) |
| Outputs |
|---|
#s(alt (- (log (+ 1 (exp (neg t)))) (log 2)) (taylor 0 s) (#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 (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) (taylor 0 s) (#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 (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) (taylor 0 s) (#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 (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) (taylor 0 s) (#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 (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (taylor 0 s) (#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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) (taylor 0 s) (#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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) (taylor 0 s) (#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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))))) (taylor 0 s) (#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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log 2)) (taylor 0 s) (#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 (- (* 1/2 s) (log 2)) (taylor 0 s) (#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 (- (* s (+ 1/2 (* -1/8 s))) (log 2)) (taylor 0 s) (#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 (- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2)) (taylor 0 s) (#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 (log 2) (taylor 0 s) (#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* -1/2 s)) (taylor 0 s) (#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* s (- (* 1/8 s) 1/2))) (taylor 0 s) (#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) (taylor 0 s) (#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (pow 1/2 c_p) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (taylor 0 s) (#s(alt (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (taylor 0 s) (#s(alt (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (taylor 0 s) (#s(alt (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (taylor 0 s) (#s(alt (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #<representation binary64>) () ())) ()) |
#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 #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 185.0ms | t | @ | -inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))))) (/ -1 (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))))))) (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
| 69.0ms | t | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))))) (/ -1 (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))))))) (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
| 64.0ms | s | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))))) (/ -1 (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))))))) (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
| 59.0ms | s | @ | -inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))))) (/ -1 (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))))))) (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
| 24.0ms | c_p | @ | -inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))))) (/ -1 (/ -1 (exp (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))))))) (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
| 1× | egg-herbie |
| 11 214× | lower-fma.f64 |
| 11 214× | lower-fma.f32 |
| 7 560× | lower-*.f64 |
| 7 560× | lower-*.f32 |
| 5 838× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 29618 |
| 1 | 2916 | 27960 |
| 0 | 8484 | 24887 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (log (+ 1 (exp (neg t)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))))) |
(* -1 (log 2)) |
(- (* 1/2 s) (log 2)) |
(- (* s (+ 1/2 (* -1/8 s))) (log 2)) |
(- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2)) |
(log 2) |
(+ (log 2) (* -1/2 s)) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(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 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 c_p) (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))) |
(+ (* 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)))) |
(+ (* 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)))) |
(+ (* 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)))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(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 1/2 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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(/ (* (pow (- 1 (/ 1 (+ 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))) |
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1/2 |
(+ 1/2 (* -1/4 t)) |
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(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(/ -1 (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 1/2))) (* 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)))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 c_p)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* (pow t 2) (+ (* -1/192 c_n) (* -1/192 c_p))))))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2)) |
(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))) |
(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 1/2 c_n) |
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -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 1/2 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)) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(/ (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 (+ 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 (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 (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))) |
(- 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 (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))))))))) |
(/ -1 (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))))))))) |
(/ -1 (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))))))))) |
(/ -1 (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 (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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (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 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(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 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(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) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(/ (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 (/ 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 (/ 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 (/ 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 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(/ -1 (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))))))))) |
(/ -1 (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))))))))) |
(/ -1 (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))))))))) |
(/ -1 (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_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)))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(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) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(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) |
| Outputs |
|---|
(- (log (+ 1 (exp (neg t)))) (log 2)) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(fma.f64 s #s(literal 1/2 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal 1/2 binary64)) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 s s) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 s)) |
(-.f64 #s(literal 2 binary64) s) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 s)) |
(fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 s s) #s(literal -1/4 binary64)) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 s)) |
(-.f64 #s(literal 2 binary64) s) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
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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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (* -1 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)) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ 1 (exp (* -1 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(+ 1 (exp (* -1 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(+ 1 (exp (* -1 s))) |
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(+ 1 (exp (* -1 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
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(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
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(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
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1 |
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(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 t)) |
(fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64)) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 t (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) (+.f64 c_n c_p) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) t (*.f64 (exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))))) t (exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 c_p)))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n)) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* (pow t 2) (+ (* -1/192 c_n) (* -1/192 c_p))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) |
(fma.f64 #s(literal 1/2 binary64) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1/2 t)) |
(fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* t (- (* 1/8 t) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) |
(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)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) c_p) #s(literal 1/2 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) (fma.f64 t (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) t (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 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 t (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p))) (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) t (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64)) t (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 c_n #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) c_n))) t (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -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)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 #s(literal 1/16 binary64) (*.f64 c_n c_n) (*.f64 (pow.f64 c_n #s(literal 3 binary64)) #s(literal -1/48 binary64))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 c_n #s(literal -1/8 binary64))))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64))) t (pow.f64 #s(literal 1/2 binary64) c_n)) |
(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)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) c_p) #s(literal 1/2 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) (fma.f64 t (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) t (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 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 t (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p))) (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) t (pow.f64 #s(literal 1/2 binary64) c_p)) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (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))) |
(*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (* (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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(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
| 4 068× | lower-*.f32 |
| 4 052× | lower-*.f64 |
| 2 868× | lower-fma.f32 |
| 2 862× | lower-fma.f64 |
| 2 410× | lower-pow.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 467 |
| 0 | 134 | 450 |
| 1 | 472 | 429 |
| 2 | 3155 | 399 |
| 0 | 8380 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(pow.f64 (/.f64 #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) 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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #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) (exp.f64 (neg.f64 s))) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))))) |
(fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
#s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
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Compiled 95 667 to 5 637 computations (94.1% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 998 | 19 | 2 017 |
| Fresh | 2 | 1 | 3 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 005 | 20 | 2 025 |
| Status | Accuracy | Program |
|---|---|---|
| 92.4% | (/.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)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) | |
| 94.8% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 #s(approx (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) | |
| 97.1% | (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 #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))))))) | |
| ▶ | 99.6% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) |
| 98.0% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n)) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t))))) | |
| 99.3% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) | |
| 91.2% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) | |
| 95.3% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) | |
| ▶ | 94.8% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
| 92.9% | #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) | |
| 91.4% | #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| 91.5% | #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| 92.5% | #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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| ▶ | 92.9% | #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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| 93.5% | #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) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) | |
| 88.7% | #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 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| ▶ | 89.5% | #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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| 86.9% | #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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 90.6% | #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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
Compiled 940 to 792 computations (15.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) | |
| cost-diff | 0 | (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) | |
| 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) | |
| cost-diff | 0 | #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| 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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| cost-diff | 0 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))) | |
| 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) | |
| cost-diff | 512 | (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) |
| 22 076× | lower-fma.f32 |
| 22 060× | lower-fma.f64 |
| 5 424× | lower-+.f32 |
| 5 418× | lower-+.f64 |
| 3 158× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 971 |
| 0 | 158 | 971 |
| 1 | 263 | 963 |
| 2 | 477 | 940 |
| 3 | 1146 | 936 |
| 4 | 2870 | 936 |
| 5 | 4749 | 936 |
| 0 | 8288 | 915 |
| 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) |
(*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) |
#s(literal -1/192 binary64) |
(+.f64 c_p c_n) |
c_p |
c_n |
(*.f64 t t) |
t |
(*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n)) |
#s(literal 1/8 binary64) |
(fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 c_n #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(/.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)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(literal 1 binary64) |
(log.f64 #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 (neg.f64 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) |
s |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
s |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(fma.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) |
(fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (+.f64 c_n c_p)) |
(*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) |
(*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) |
#s(literal -1/192 binary64) |
(+.f64 c_p c_n) |
(+.f64 c_n c_p) |
c_p |
c_n |
(*.f64 t t) |
t |
(*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n)) |
(*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) |
#s(literal 1/8 binary64) |
(fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n)) |
#s(literal -1/2 binary64) |
(*.f64 c_n #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(fma.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log.f64 #s(literal 1/2 binary64))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (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 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(literal 1 binary64) |
(log.f64 #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 (neg.f64 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) |
s |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (*.f64 (fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (*.f64 (fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (*.f64 (fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
s |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2460334241016452 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 0.24991779165271868 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 26.78474437675344 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) | |
| accuracy | 50.92039392298895 | (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) | |
| accuracy | 0.24218199386619269 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) | |
| accuracy | 0.5347715087938778 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| accuracy | 1.6992338802904245 | (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| accuracy | 0.2561857536346347 | (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) | |
| accuracy | 0.5347715087938778 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| accuracy | 1.2778197062966932 | #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) | |
| accuracy | 1.6992338802904245 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| accuracy | 0.5347715087938778 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) | |
| accuracy | 0.7799307092275689 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) | |
| accuracy | 0.28125 | (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) | |
| accuracy | 0.909107542220454 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))) | |
| accuracy | 52.7333433211947 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) | |
| accuracy | 52.74218237830096 | (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
| 510.0ms | 206× | 1 | valid |
| 41.0ms | 2× | 5 | exit |
| 34.0ms | 13× | 2 | valid |
| 24.0ms | 5× | 4 | exit |
| 14.0ms | 13× | 1 | exit |
| 10.0ms | 16× | 0 | valid |
| 9.0ms | 1× | 3 | exit |
Compiled 773 to 86 computations (88.9% saved)
ival-mult: 115.0ms (20.1% of total)ival-pow: 110.0ms (19.3% of total)ival-log1p: 72.0ms (12.6% of total)ival-exp: 63.0ms (11% of total)adjust: 55.0ms (9.6% of total)ival-add: 36.0ms (6.3% of total)const: 33.0ms (5.8% of total)ival-log: 29.0ms (5.1% of total)ival-sub: 28.0ms (4.9% of total)ival-div: 22.0ms (3.9% of total)ival-neg: 7.0ms (1.2% 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 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) (patch (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) #<representation binary64>) () ()) |
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#s(alt (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (patch #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) (patch #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (patch (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (patch (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) (patch (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) (patch (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (patch (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) #<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>) () ()) |
| Outputs |
|---|
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#s(alt (log (+ 1 (exp (* -1 t)))) (taylor -inf t) (#s(alt (log1p.f64 (exp.f64 (neg.f64 t))) (patch (log1p.f64 (exp.f64 (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp (* -1 t)))) (taylor -inf t) (#s(alt (log1p.f64 (exp.f64 (neg.f64 t))) (patch (log1p.f64 (exp.f64 (neg.f64 t))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 117.0ms | s | @ | inf | ((+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) c_p) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (* -1/192 (+ c_p c_n)) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ 1 (+ (exp (neg t)) 1)) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t))))) |
| 65.0ms | s | @ | -inf | ((+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) c_p) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (* -1/192 (+ c_p c_n)) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ 1 (+ (exp (neg t)) 1)) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t))))) |
| 52.0ms | c_p | @ | inf | ((+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) c_p) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (* -1/192 (+ c_p c_n)) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ 1 (+ (exp (neg t)) 1)) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t))))) |
| 52.0ms | c_p | @ | -inf | ((+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) c_p) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (* -1/192 (+ c_p c_n)) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ 1 (+ (exp (neg t)) 1)) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t))))) |
| 49.0ms | t | @ | -inf | ((+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) c_p) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (* -1/192 (+ c_p c_n)) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ 1 (+ (exp (neg t)) 1)) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t))))) |
| 1× | egg-herbie |
| 11 744× | lower-fma.f64 |
| 11 744× | lower-fma.f32 |
| 7 178× | lower-*.f64 |
| 7 178× | lower-*.f32 |
| 6 350× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 955 | 33274 |
| 1 | 3024 | 31430 |
| 0 | 8704 | 27879 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))))) |
(+ (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)))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))))) |
(* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))))))) |
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p)))))))) |
(+ (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p)))))))) |
(+ (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ 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))) |
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1/2 |
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(* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) |
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(+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/192 (* c_p (pow s 2)))))))) |
(- (log (+ 1 (exp (neg t)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
(* 1/2 s) |
(* s (+ 1/2 (* -1/8 s))) |
(* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) |
(* s (+ 1/2 (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)))) |
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(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
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2 |
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(log 2) |
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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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1 |
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1 |
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1 |
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(/ (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))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
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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)))))))) |
(+ (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)))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 c_p)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* (pow t 2) (+ (* -1/192 c_n) (* -1/192 c_p))))))))))) |
(* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) |
(+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) |
(+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) |
(+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p)))))) |
(- (log 2) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg 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)) |
1/2 |
(+ 1/2 (* 1/4 t)) |
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) |
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48))))) |
(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))) |
(* -1/192 (* (pow t 2) (+ c_n c_p))) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(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_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))))))) |
(+ (* 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))))))) |
(* -1/192 (* (pow t 4) (+ c_n c_p))) |
(* (pow t 4) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow t 2))) (* 1/2 (/ c_n (pow t 3))))))) |
(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow t 2))) (+ (* 1/2 (/ c_n (pow t 3))) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (pow t 4)) (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (pow t 4)))))))) |
(/ (* (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 (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 (+ 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 (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 (+ 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 (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)) |
(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_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))))))) |
(+ (* 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))))))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(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 (+ 1 (exp (neg t)))) |
(/ 1 (+ 1 (exp (neg t)))) |
(/ 1 (+ 1 (exp (neg t)))) |
(/ 1 (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(* -1/192 (* (pow t 2) (+ c_n c_p))) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(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_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)))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(* -1/192 (* (pow t 4) (+ c_n c_p))) |
(* (pow t 4) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow t 2))) (* 1/2 (/ c_n (pow t 3))))))) |
(* (pow t 4) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 c_p) (* 1/2 c_n))) (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) t))) (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2)))))) |
(/ (* (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 (+ 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 (/ 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 (+ 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 (/ 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 (+ 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)) |
(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_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)))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(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 (exp (* -1 t)))) |
(/ 1 (+ 1 (exp (* -1 t)))) |
(/ 1 (+ 1 (exp (* -1 t)))) |
(/ 1 (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
| Outputs |
|---|
(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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (* (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 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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)))))) |
(fma.f64 (fma.f64 (*.f64 s (fma.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) s (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (+ (* 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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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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1/2 |
#s(literal 1/2 binary64) |
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(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
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(pow.f64 #s(literal 1/2 binary64) c_p) |
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2 |
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(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
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(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
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(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
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(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
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(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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(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))))))))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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 t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 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)) |
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(/ (pow (/ 1 (+ 1 (exp (* -1 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)) |
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(/ (pow (/ 1 (+ 1 (exp (* -1 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)) |
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(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
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(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
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(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) c_n (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2)))) (* (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))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (pow.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) c_n (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 3)))) (* 1/2 (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2))))) (* (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))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c_n) (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (pow.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (pow.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) #s(literal 2 binary64)))) c_n (*.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) c_n (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* -1/192 c_p) |
(*.f64 #s(literal -1/192 binary64) c_p) |
(+ (* -1/192 c_n) (* -1/192 c_p)) |
(*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) |
(+ (* -1/192 c_n) (* -1/192 c_p)) |
(*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) |
(+ (* -1/192 c_n) (* -1/192 c_p)) |
(*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) |
(* c_n (+ 1/8 (* -1/192 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n) |
(* c_n (+ 1/8 (+ (* -1/192 (/ (* c_p (pow t 2)) c_n)) (+ (* -1/192 (pow t 2)) (* 1/8 (/ c_p c_n)))))) |
(*.f64 (fma.f64 #s(literal -1/192 binary64) (fma.f64 c_p (/.f64 (*.f64 t t) c_n) (*.f64 t t)) (fma.f64 (/.f64 c_p c_n) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) c_n) |
(* c_n (+ 1/8 (+ (* -1/192 (/ (* c_p (pow t 2)) c_n)) (+ (* -1/192 (pow t 2)) (* 1/8 (/ c_p c_n)))))) |
(*.f64 (fma.f64 #s(literal -1/192 binary64) (fma.f64 c_p (/.f64 (*.f64 t t) c_n) (*.f64 t t)) (fma.f64 (/.f64 c_p c_n) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) c_n) |
(* c_n (+ 1/8 (+ (* -1/192 (/ (* c_p (pow t 2)) c_n)) (+ (* -1/192 (pow t 2)) (* 1/8 (/ c_p c_n)))))) |
(*.f64 (fma.f64 #s(literal -1/192 binary64) (fma.f64 c_p (/.f64 (*.f64 t t) c_n) (*.f64 t t)) (fma.f64 (/.f64 c_p c_n) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) c_n) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) c_n) |
(* 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)))))))) |
(*.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) c_n) |
(* 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)))))))) |
(*.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (fma.f64 t (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) c_n) (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (fma.f64 t (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) c_n) (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (fma.f64 t (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) c_n) (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.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 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) c_n) |
(* 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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1 |
#s(literal 1 binary64) |
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1 |
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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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(fma.f64 (fma.f64 (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))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.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))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) c_p (*.f64 (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* -1/192 c_n) |
(*.f64 #s(literal -1/192 binary64) c_n) |
(+ (* -1/192 c_n) (* -1/192 c_p)) |
(*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) |
(+ (* -1/192 c_n) (* -1/192 c_p)) |
(*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) |
(+ (* -1/192 c_n) (* -1/192 c_p)) |
(*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) 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 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) c_p) #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c_p) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p #s(literal 1 binary64)) |
(* c_p (+ 1/8 (* -1/192 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) |
(* c_p (+ 1/8 (+ (* -1/192 (/ (* c_n (pow t 2)) c_p)) (+ (* -1/192 (pow t 2)) (* 1/8 (/ c_n c_p)))))) |
(*.f64 (fma.f64 #s(literal -1/192 binary64) (fma.f64 c_n (/.f64 (*.f64 t t) c_p) (*.f64 t t)) (fma.f64 (/.f64 c_n c_p) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) c_p) |
(* c_p (+ 1/8 (+ (* -1/192 (/ (* c_n (pow t 2)) c_p)) (+ (* -1/192 (pow t 2)) (* 1/8 (/ c_n c_p)))))) |
(*.f64 (fma.f64 #s(literal -1/192 binary64) (fma.f64 c_n (/.f64 (*.f64 t t) c_p) (*.f64 t t)) (fma.f64 (/.f64 c_n c_p) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) c_p) |
(* c_p (+ 1/8 (+ (* -1/192 (/ (* c_n (pow t 2)) c_p)) (+ (* -1/192 (pow t 2)) (* 1/8 (/ c_n c_p)))))) |
(*.f64 (fma.f64 #s(literal -1/192 binary64) (fma.f64 c_n (/.f64 (*.f64 t t) c_p) (*.f64 t t)) (fma.f64 (/.f64 c_n c_p) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) c_p) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
(* 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)))))) |
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
(* 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)))))) |
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p)) (fma.f64 t (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n) t (*.f64 #s(literal 1/2 binary64) c_n)) c_p) (log.f64 #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p)) (fma.f64 t (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n) t (*.f64 #s(literal 1/2 binary64) c_n)) c_p) (log.f64 #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p)) (fma.f64 t (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n) t (*.f64 #s(literal 1/2 binary64) c_n)) c_p) (log.f64 #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (neg.f64 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 t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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)))))) (* c_p (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)))))) (* 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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(+ (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)))))) |
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(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n)) t))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 c_p)))))))) |
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(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* (pow t 2) (+ (* -1/192 c_n) (* -1/192 c_p))))))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
(* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(+ (* -1/2 (* c_p t)) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (*.f64 #s(literal -1/2 binary64) t) c_p)) |
(+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/8 (* c_p t))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 c_p t) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) c_p)) t)) |
(+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p)))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)) |
(- (log 2) (log (+ 1 (exp (neg s))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (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)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) c_p) #s(literal 1/2 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) (fma.f64 t (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (*.f64 c_p #s(literal 1/2 binary64)))) t (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 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 t (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p))) (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) t (pow.f64 #s(literal 1/2 binary64) c_p)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 t)) |
(fma.f64 #s(literal 1/4 binary64) t #s(literal 1/2 binary64)) |
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 t t) #s(literal 1/4 binary64)) t #s(literal 1/2 binary64)) |
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 t t) #s(literal -1/48 binary64)) (*.f64 t t) #s(literal 1/4 binary64)) t #s(literal 1/2 binary64)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1/2 t)) |
(fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* t (- (* 1/8 t) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) |
(* -1/192 (* (pow t 2) (+ c_n c_p))) |
(*.f64 (*.f64 (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) t) t) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) t) (/.f64 (+.f64 c_p c_n) t) (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) t) (/.f64 (+.f64 c_p c_n) t) (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) t) (/.f64 (+.f64 c_p c_n) t) (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64))) (*.f64 t 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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* -1/192 (* (pow t 4) (+ c_n c_p))) |
(*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/192 binary64)) (+.f64 c_p c_n)) |
(* (pow t 4) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2))))) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) t) (/.f64 (+.f64 c_p c_n) t) (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)))) |
(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow t 2))) (* 1/2 (/ c_n (pow t 3))))))) |
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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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/ 1 (+ 1 (exp (* -1 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/ 1 (+ 1 (exp (* -1 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/ 1 (+ 1 (exp (* -1 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/ 1 (+ 1 (exp (* -1 t)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
| 5 010× | lower-*.f32 |
| 4 994× | lower-*.f64 |
| 4 076× | lower-fma.f32 |
| 4 060× | lower-fma.f64 |
| 2 812× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 766 |
| 0 | 158 | 744 |
| 1 | 672 | 716 |
| 2 | 5172 | 716 |
| 0 | 8742 | 705 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
| Outputs |
|---|
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Compiled 58 719 to 4 058 computations (93.1% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 425 | 4 | 1 429 |
| Fresh | 15 | 0 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 444 | 5 | 1 449 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)))))) |
| ▶ | 99.6% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
| ▶ | 94.5% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
| ▶ | 93.3% | #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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
Compiled 124 to 98 computations (21% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) | |
| cost-diff | 320 | (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)) | |
| cost-diff | 6400 | (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)))) | |
| 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
| 20 678× | lower-fma.f32 |
| 20 654× | lower-fma.f64 |
| 4 358× | lower-+.f32 |
| 4 354× | lower-+.f64 |
| 2 460× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1565 |
| 0 | 173 | 1556 |
| 1 | 302 | 1496 |
| 2 | 617 | 1471 |
| 3 | 1798 | 1471 |
| 4 | 5306 | 1458 |
| 0 | 8158 | 1398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) |
s |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
#s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)) |
(*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t) |
(fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) |
(*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
(+.f64 c_p c_n) |
c_p |
c_n |
(fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 t t) |
t |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) c_n) |
#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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)) |
(fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) |
(*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
(+.f64 c_p c_n) |
c_p |
c_n |
(fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 t t) |
t |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
(fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) |
(*.f64 c_p #s(literal 1/2 binary64)) |
s |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t))))) |
#s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 t t) |
t |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(/.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)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(literal 1 binary64) |
(log.f64 #s(literal 1/2 binary64)) |
c_n |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
c_p |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t) |
(fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) |
(*.f64 #s(literal -1/2 binary64) 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) |
s |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_n c_p) t) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
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(*.f64 t t) |
t |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log.f64 #s(literal 1/2 binary64))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (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 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(literal 1 binary64) |
(log.f64 #s(literal 1/2 binary64)) |
c_n |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)) |
(*.f64 c_p (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
c_p |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t) c_p) |
(fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) |
(*.f64 #s(literal -1/2 binary64) c_p) |
#s(literal -1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24991779165271868 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 0.909107542220454 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t))))) | |
| accuracy | 53.192758058942 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) | |
| accuracy | 53.20159711604827 | (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) | |
| accuracy | 0.041347509768442016 | (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)) | |
| accuracy | 0.909107542220454 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)))) | |
| accuracy | 2.106302863986169 | #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))) | |
| accuracy | 0.017419654760301943 | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t) | |
| accuracy | 0.909107542220454 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) | |
| accuracy | 23.71084895945852 | #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)) | |
| accuracy | 0.5347715087938778 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| accuracy | 1.2778197062966932 | #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) | |
| accuracy | 1.6992338802904245 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) | |
| accuracy | 3.118977056929888 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
| 639.0ms | 216× | 1 | valid |
| 50.0ms | 5× | 4 | exit |
| 39.0ms | 13× | 1 | exit |
| 15.0ms | 5× | 2 | valid |
| 12.0ms | 16× | 0 | valid |
| 5.0ms | 1× | 3 | exit |
Compiled 978 to 103 computations (89.5% saved)
ival-mult: 122.0ms (18.7% of total)adjust: 80.0ms (12.3% of total)ival-add: 78.0ms (12% of total)ival-pow: 71.0ms (10.9% of total)ival-exp: 67.0ms (10.3% of total)ival-log1p: 63.0ms (9.7% of total)ival-sub: 53.0ms (8.1% of total)ival-div: 50.0ms (7.7% of total)ival-neg: 34.0ms (5.2% of total)ival-log: 26.0ms (4% of total)const: 5.0ms (0.8% 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 #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (patch (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) (patch #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)) (patch #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t) (patch (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) #<representation binary64>) () ()) |
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#s(alt #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) (patch #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) #<representation binary64>) () ()) |
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#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ()) |
| Outputs |
|---|
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 123.0ms | 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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (+ (* (+ (* (+ (* (+ (* (* t t) -1/192) 1/8) t) 1/2) t) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2))) c_n) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t))) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t)) (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (+ (exp (neg s)) 1) (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (log (+ 1 (exp (neg s))))) |
| 77.0ms | 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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (+ (* (+ (* (+ (* (+ (* (* t t) -1/192) 1/8) t) 1/2) t) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2))) c_n) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t))) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t)) (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (+ (exp (neg s)) 1) (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (log (+ 1 (exp (neg s))))) |
| 64.0ms | c_p | @ | 0 | ((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (+ (* (+ (* (+ (* (+ (* (* t t) -1/192) 1/8) t) 1/2) t) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2))) c_n) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t))) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t)) (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (+ (exp (neg s)) 1) (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (- (log 2) (log (+ 1 (exp (neg s))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (log (+ 1 (exp (neg s))))) |
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| 1× | egg-herbie |
| 8 874× | lower-fma.f64 |
| 8 874× | lower-fma.f32 |
| 7 038× | lower-+.f64 |
| 7 038× | lower-+.f32 |
| 6 312× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1047 | 32116 |
| 1 | 3422 | 31141 |
| 0 | 8207 | 26322 |
| 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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(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(pow 1/2 c_p) |
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1/2 |
(+ 1/2 (* 1/4 s)) |
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1 |
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1 |
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(* (pow t 4) (+ (* -1/192 c_n) (* -1/192 c_p))) |
(* (pow t 4) (+ (* -1/192 c_n) (+ (* -1/192 c_p) (+ (* 1/8 (/ c_n (pow t 2))) (* 1/8 (/ c_p (pow t 2))))))) |
(* (pow t 4) (+ (* -1 (/ (+ (* -1/2 c_n) (* 1/2 c_p)) (pow t 3))) (+ (* -1/192 c_n) (+ (* -1/192 c_p) (+ (* 1/8 (/ c_n (pow t 2))) (* 1/8 (/ c_p (pow t 2)))))))) |
(* (pow t 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) t)) (+ (* -1/2 c_n) (* 1/2 c_p))) (pow t 3))) (+ (* -1/192 c_n) (+ (* -1/192 c_p) (+ (* 1/8 (/ c_n (pow t 2))) (* 1/8 (/ c_p (pow t 2)))))))) |
(* -1/192 (* c_p (pow t 4))) |
(* (pow t 4) (+ (* -1/192 c_p) (* 1/8 (/ c_p (pow t 2))))) |
(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 c_p) (* 1/8 (/ c_p (pow t 2)))))) |
(* (pow t 4) (+ (* -1 (/ (+ (* -1 (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) t)) (* 1/2 c_p)) (pow t 3))) (+ (* -1/192 c_p) (* 1/8 (/ c_p (pow t 2)))))) |
(* -1/192 (* c_p (pow t 3))) |
(* -1 (* (pow t 3) (+ (* -1/8 (/ c_p (pow t 2))) (* 1/192 c_p)))) |
(* -1 (* (pow t 3) (+ (* -1/8 (/ c_p (pow t 2))) (+ (* 1/192 c_p) (* 1/2 (/ c_p (pow t 3))))))) |
(* -1 (* (pow t 3) (+ (* -1/8 (/ c_p (pow t 2))) (+ (* 1/192 c_p) (* 1/2 (/ c_p (pow t 3))))))) |
(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_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)))))))) |
(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) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
(+ (* 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))))))) |
| 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_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (* 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 (fma.f64 (/.f64 (*.f64 c_p #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) s (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(+ (* 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)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (*.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) (+.f64 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n))))) s (/.f64 (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))))) s (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(+ (* 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)))) |
(fma.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 c_p #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (*.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c_n (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p))) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 c_p #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 c_n c_n) (*.f64 (pow.f64 c_n #s(literal 3 binary64)) #s(literal -1/48 binary64))) (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p))))))) s (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) (+.f64 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))))) s))) s)) |
(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(fma.f64 (/.f64 (*.f64 (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p)) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #s(literal 1/2 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p))) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (*.f64 s (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p)))) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (*.f64 s (pow.f64 #s(literal 1/2 binary64) c_p)) c_p) #s(literal 1/2 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) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p))))) s (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 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p))) (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 s)) |
(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
(fma.f64 (fma.f64 (*.f64 s s) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) |
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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))))) |
(exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (* (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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(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
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(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
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(* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))))))) |
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(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p)))))))) |
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(+ (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p)))))))) |
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(+ (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n 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))))) |
(exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (* (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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(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 s)) |
(-.f64 #s(literal 2 binary64) s) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
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(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) |
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(* 1/2 s) |
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(* s (+ 1/2 (* -1/8 s))) |
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(* -1/2 s) |
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(log 2) |
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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)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
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(+ (* 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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(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
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(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t) (+.f64 c_p c_n) (*.f64 c_n #s(literal 1/2 binary64)))) t))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))))))))) |
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(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (* -1 s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t) (+.f64 c_p c_n) (*.f64 c_n #s(literal 1/2 binary64)))) t))) |
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(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 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_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (+ (* 1/2 (* c_n (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2)))) (* (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_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 3)))) (* 1/2 (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2))))) (* (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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(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(+ (* 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)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p)))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_p) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_p)) t (*.f64 #s(literal -1/2 binary64) c_p)) t)) |
(+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_p) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_p)) t (*.f64 #s(literal -1/2 binary64) c_p)) t))) |
(+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_p) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_p)) t (*.f64 #s(literal -1/2 binary64) c_p)) t))) |
(+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))))) |
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(* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) |
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(+ (* c_n (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2)))))))) |
(fma.f64 (*.f64 c_n t) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t)) |
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(fma.f64 (*.f64 c_n t) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t)) |
(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 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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(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(+ (* 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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(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
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(+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2)))))))) |
(fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t)) |
(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))))) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))))) |
(fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (*.f64 #s(literal -1/2 binary64) s)) c_n (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t))) |
(+ (* 1/2 (* c_p s)) (+ (* c_n (+ (* -1/2 s) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))))) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))))) |
(fma.f64 (*.f64 s c_p) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (*.f64 #s(literal -1/2 binary64) s)) c_n (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t))) |
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(+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2)))))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t)) |
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(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t))) |
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(+ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))))) |
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(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
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(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 3)))) (* 1/2 (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (pow (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) 2))))) (* (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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(* 1/2 (* c_p s)) |
(*.f64 (*.f64 s c_p) #s(literal 1/2 binary64)) |
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(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) |
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(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) |
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(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(+ (* 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)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 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 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 (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 (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 (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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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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(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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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(* 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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(* 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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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) |
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
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(* c_n (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) |
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(* c_n (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n))) |
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(* c_n (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n))) |
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(* c_n (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n))) |
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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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (-.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (-.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (-.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (fma.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_p) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_p)) t (*.f64 #s(literal -1/2 binary64) c_p)) t) c_n))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (fma.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_p) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_p)) t (*.f64 #s(literal -1/2 binary64) c_p)) t) c_n))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* t (+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (fma.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_p) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_p)) t (*.f64 #s(literal -1/2 binary64) c_p)) t) c_n))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (+ (* -1/2 s) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (*.f64 #s(literal -1/2 binary64) s)) c_n) |
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) s (fma.f64 (/.f64 (*.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) c_n) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)))))) c_n) |
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) s (fma.f64 (/.f64 (*.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) c_n) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)))))) c_n) |
(* c_n (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) s (fma.f64 (/.f64 (*.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) c_n) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)))))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 t (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) c_n) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) (*.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 t (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) c_n) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) (*.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (+ (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))) (+ (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) c_n) (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n)))) (log 1/2))) |
(*.f64 (-.f64 (+.f64 (fma.f64 t (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) c_n) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) (*.f64 c_p (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) |
(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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(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.f64 (fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))) |
(* -1/2 (* c_n s)) |
(*.f64 (*.f64 s c_n) #s(literal -1/2 binary64)) |
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)) c_n) |
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)) c_n) |
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)) c_n) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (-.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (-.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(* 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)))))))) |
(*.f64 (-.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) 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 t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
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1 |
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(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (fma.f64 t (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_n)) t (*.f64 c_n #s(literal 1/2 binary64))) c_p) (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p))) (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (fma.f64 t (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_n)) t (*.f64 c_n #s(literal 1/2 binary64))) c_p) (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p))) (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (fma.f64 t (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_n)) t (*.f64 c_n #s(literal 1/2 binary64))) c_p) (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p))) (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t) c_p) |
(* c_p (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_p))) |
(*.f64 (*.f64 t (+.f64 (/.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) c_p) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)))) c_p) |
(* c_p (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_p))) |
(*.f64 (*.f64 t (+.f64 (/.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) c_p) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)))) c_p) |
(* c_p (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_p))) |
(*.f64 (*.f64 t (+.f64 (/.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) c_p) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)))) c_p) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (fma.f64 t (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_n)) t (*.f64 c_n #s(literal 1/2 binary64))) c_p) (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p))) (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (fma.f64 t (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_n)) t (*.f64 c_n #s(literal 1/2 binary64))) c_p) (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p))) (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) c_p) (/ (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))) c_p)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (fma.f64 t (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_n)) t (*.f64 c_n #s(literal 1/2 binary64))) c_p) (/.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p))) (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (+ (* 1/2 s) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (*.f64 s #s(literal 1/2 binary64))) c_p) |
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_p))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_n) c_p) #s(literal -1/2 binary64) (fma.f64 t (+.f64 (/.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) c_p) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64))) (*.f64 s #s(literal 1/2 binary64)))) c_p) |
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_p))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_n) c_p) #s(literal -1/2 binary64) (fma.f64 t (+.f64 (/.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) c_p) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64))) (*.f64 s #s(literal 1/2 binary64)))) c_p) |
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_p))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_n) c_p) #s(literal -1/2 binary64) (fma.f64 t (+.f64 (/.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) c_p) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64))) (*.f64 s #s(literal 1/2 binary64)))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) c_p))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) c_p))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (+ (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) (/ (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) c_p))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log.f64 #s(literal 1/2 binary64))) c_n) c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) |
(* c_p (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) |
(* c_p (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) |
(* c_p (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(* 1/2 (* c_p s)) |
(*.f64 (*.f64 s c_p) #s(literal 1/2 binary64)) |
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_n) c_p) #s(literal -1/2 binary64) (*.f64 s #s(literal 1/2 binary64))) c_p) |
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_n) c_p) #s(literal -1/2 binary64) (*.f64 s #s(literal 1/2 binary64))) c_p) |
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s))) |
(*.f64 (fma.f64 (/.f64 (*.f64 s c_n) c_p) #s(literal -1/2 binary64) (*.f64 s #s(literal 1/2 binary64))) c_p) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* 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)))))) |
(*.f64 (-.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (log1p.f64 (exp.f64 (neg.f64 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 t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) 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))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) (* -1 (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p))))) |
(*.f64 (neg.f64 c_p) (neg.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) (* -1 (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p))))) |
(*.f64 (neg.f64 c_p) (neg.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) (* -1 (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p))))) |
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(* s (+ (* -1/2 c_n) (* 1/2 c_p))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) |
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(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
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(* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) |
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(pow 1/2 c_p) |
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(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
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(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 c_p)))))))) |
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(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t) (+.f64 c_p c_n) (*.f64 c_n #s(literal 1/2 binary64)))) 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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(* -1/192 (* (pow t 4) (+ c_n c_p))) |
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(* -1/192 (* (pow t 4) (+ c_n c_p))) |
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(* (pow t 4) (+ (* -1/192 c_n) (* -1/192 c_p))) |
(*.f64 (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) (pow.f64 t #s(literal 4 binary64))) |
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(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 c_n) (+ (* -1/192 c_p) (+ (* 1/8 (/ c_n (pow t 2))) (+ (* 1/8 (/ c_p (pow t 2))) (* 1/2 (/ c_n (pow t 3))))))))) |
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(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 c_n) (+ (* -1/192 c_p) (+ (* 1/8 (/ c_n (pow t 2))) (+ (* 1/8 (/ c_p (pow t 2))) (+ (* 1/2 (/ c_n (pow t 3))) (+ (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (pow t 4)) (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (pow t 4)))))))))) |
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(* -1/192 (* c_p (pow t 4))) |
(*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) c_p) #s(literal -1/192 binary64)) |
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(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 c_p) (+ (* 1/8 (/ c_p (pow t 2))) (/ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (pow t 4)))))) |
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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_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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(* -1/192 (* (pow t 4) (+ c_n c_p))) |
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(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow t 2))) (* 1/2 (/ c_n (pow t 3))))))) |
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(* (pow t 4) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 c_p) (* 1/2 c_n))) (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) t))) (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 c_p c_n) t) (/.f64 #s(literal 1/8 binary64) t) (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) (neg.f64 t)) (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 t #s(literal 4 binary64))) |
(* -1/192 (* (pow t 4) (+ c_n c_p))) |
(*.f64 (*.f64 #s(literal -1/192 binary64) (pow.f64 t #s(literal 4 binary64))) (+.f64 c_p c_n)) |
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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_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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(+ (* 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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(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
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(* -1/192 (* (pow t 4) (+ c_n c_p))) |
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(* (pow t 4) (+ (* -1/2 (/ c_p (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (+ (* 1/8 (/ (+ c_n c_p) (pow t 2))) (* 1/2 (/ c_n (pow t 3))))))) |
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(* -1/192 (* (pow t 4) (+ c_n c_p))) |
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(* (pow t 4) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 c_p) (* 1/2 c_n))) (* -1 (/ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) t))) (pow t 3))) (+ (* -1/192 (+ c_n c_p)) (* 1/8 (/ (+ c_n c_p) (pow t 2)))))) |
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(* (pow t 4) (+ (* -1/192 c_n) (* -1/192 c_p))) |
(*.f64 (*.f64 (+.f64 c_p c_n) #s(literal -1/192 binary64)) (pow.f64 t #s(literal 4 binary64))) |
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(* (pow t 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))) t)) (+ (* -1/2 c_n) (* 1/2 c_p))) (pow t 3))) (+ (* -1/192 c_n) (+ (* -1/192 c_p) (+ (* 1/8 (/ c_n (pow t 2))) (* 1/8 (/ c_p (pow t 2)))))))) |
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(* -1/192 (* c_p (pow t 4))) |
(*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) c_p) #s(literal -1/192 binary64)) |
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(* -1/192 (* c_p (pow t 3))) |
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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_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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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
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(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* 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))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
| 4 084× | lower-*.f32 |
| 4 066× | lower-*.f64 |
| 4 040× | lower-fma.f32 |
| 4 016× | lower-fma.f64 |
| 2 230× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1220 |
| 0 | 173 | 1205 |
| 1 | 788 | 1144 |
| 2 | 6579 | 1144 |
| 0 | 8497 | 1091 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
#s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)) |
(*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t))) |
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)))))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t))))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
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Compiled 47 964 to 3 201 computations (93.3% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 065 | 8 | 1 073 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1 068 | 10 | 1 078 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.5% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
| 94.5% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (+ (* (+ (* (* t t) -1/192) 1/8) t) 1/2) t) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2))) c_n) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t))) (fma.f64 (*.f64 c_n t) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t)))))) | |
| 98.2% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) | |
| 92.2% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_p c_n) t) #s(literal 1/8 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) t))))) | |
| 94.2% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) | |
| 93.5% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) t))))) | |
| 90.2% | #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 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| 89.6% | #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 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| 93.3% | #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))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
Compiled 1 170 to 413 computations (64.7% 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_p c_n) t) #s(literal 1/8 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (+ (* (+ (* (* t t) -1/192) 1/8) t) 1/2) t) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2))) c_n) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t))) (fma.f64 (*.f64 c_n t) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t)))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 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))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 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))) (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal 1 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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (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) (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)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 #s(approx (+ (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.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) (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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
(/.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))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n)) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/192 binary64) (+.f64 c_p c_n)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_p c_n))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64)))) t (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) t (*.f64 #s(literal -1/2 binary64) c_p)) t)))))) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (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 (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 #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))))))) |
(/.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) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) c_n))) t (pow.f64 #s(literal 1/2 binary64) 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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.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 (fma.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
13 calls:
| 17.0ms | (neg.f64 t) |
| 12.0ms | c_n |
| 12.0ms | s |
| 11.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 10.0ms | c_p |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | c_p |
| 99.6% | 1 | c_n |
| 99.6% | 1 | t |
| 99.6% | 1 | s |
| 99.6% | 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))) |
| 99.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 99.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 99.6% | 1 | (exp.f64 (neg.f64 s)) |
| 99.6% | 1 | (neg.f64 s) |
| 99.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 99.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 99.6% | 1 | (exp.f64 (neg.f64 t)) |
| 99.6% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (*.f64 c_n (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_p c_n) t) #s(literal 1/8 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) 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) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (*.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (+ (* (+ (* (* t t) -1/192) 1/8) t) 1/2) t) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2))) c_n) (+ (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p) (* (+ (* (* (+ (* (* t t) -1/192) 1/8) c_p) t) (* -1/2 c_p)) t))) (fma.f64 (*.f64 c_n t) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) t #s(literal -1/2 binary64)) c_p) t)))))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
13 calls:
| 8.0ms | (neg.f64 s) |
| 5.0ms | (neg.f64 t) |
| 5.0ms | c_p |
| 4.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 4.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | c_p |
| 98.2% | 1 | c_n |
| 98.2% | 1 | t |
| 98.2% | 1 | 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)) |
| 98.2% | 1 | (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 81 to 94 computations (-16% 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) |
13 calls:
| 3.0ms | s |
| 2.0ms | t |
| 2.0ms | (neg.f64 t) |
| 2.0ms | c_n |
| 2.0ms | (neg.f64 s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | c_p |
| 94.2% | 1 | c_n |
| 94.2% | 1 | t |
| 94.2% | 1 | s |
| 94.2% | 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))) |
| 94.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 94.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 94.2% | 1 | (exp.f64 (neg.f64 s)) |
| 94.2% | 1 | (neg.f64 s) |
| 94.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 94.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 94.2% | 1 | (exp.f64 (neg.f64 t)) |
| 94.2% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
Total -2.5b remaining (-47%)
Threshold costs -2.5b (-47%)
| 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
13 calls:
| 6.0ms | (exp.f64 (neg.f64 t)) |
| 1.0ms | c_n |
| 1.0ms | (neg.f64 t) |
| 1.0ms | (neg.f64 s) |
| 1.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | c_p |
| 91.6% | 1 | c_n |
| 91.6% | 1 | s |
| 91.6% | 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))) |
| 91.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 91.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 91.6% | 1 | (exp.f64 (neg.f64 t)) |
| 91.6% | 1 | (neg.f64 t) |
| 91.6% | 1 | t |
| 91.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 91.6% | 1 | (exp.f64 (neg.f64 s)) |
| 91.6% | 1 | (neg.f64 s) |
| 91.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
Compiled 81 to 94 computations (-16% saved)
| 1× | egg-herbie |
| 10× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
| 2× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 464 |
| 1 | 124 | 464 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (+.f64 c_p c_n) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (+.f64 c_n c_p)) t (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (* (+ (* -1/2 c_n) (* c_p 1/2)) s)) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) t))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* c_n 1/2))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (* (+ (* (* (+ c_p c_n) (+ (* (* t t) -1/192) 1/8)) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_n)) 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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| 14 304× | lower-fma.f64 |
| 14 304× | lower-fma.f32 |
| 11 744× | lower-fma.f64 |
| 11 744× | lower-fma.f32 |
| 11 214× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1047 | 32116 |
| 1 | 3422 | 31141 |
| 0 | 8207 | 26322 |
| 0 | 955 | 33274 |
| 1 | 3024 | 31430 |
| 0 | 8704 | 27879 |
| 0 | 924 | 29618 |
| 1 | 2916 | 27960 |
| 0 | 8484 | 24887 |
| 0 | 433 | 7110 |
| 1 | 1360 | 6524 |
| 2 | 4954 | 5981 |
| 0 | 9047 | 5655 |
| 0 | 22 | 105 |
| 0 | 39 | 105 |
| 1 | 151 | 105 |
| 2 | 1022 | 100 |
| 0 | 8612 | 88 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 79 to 76 computations (3.8% saved)
Compiled 252 to 152 computations (39.7% saved)
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