
Time bar (total: 55.5s)
| 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)
| 29.5s | 7 677× | 5 | exit |
| 5.7s | 24 267× | 0 | exit |
| 1.5s | 8 073× | 0 | valid |
| 149.0ms | 19× | 4 | valid |
| 59.0ms | 21× | 3 | valid |
| 48.0ms | 124× | 1 | valid |
| 19.0ms | 41× | 1 | exit |
| 14.0ms | 19× | 2 | valid |
ival-pow: 26.0s (75.2% of total)adjust: 2.2s (6.3% of total)ival-div: 1.8s (5.3% of total)ival-exp: 1.0s (3% of total)ival-neg: 941.0ms (2.7% of total)ival-add: 848.0ms (2.5% of total)ival-sub: 680.0ms (2% of total)ival-mult: 636.0ms (1.8% of total)ival-<: 259.0ms (0.7% of total)ival-and: 64.0ms (0.2% of total)exact: 58.0ms (0.2% of total)ival-assert: 15.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 12 | 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 | 0 | - | 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 | 2 | (1197.6215775236715 1.1584760393572235e-183 9.396766238969027e-180 2214.283102378943) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
| 1 | 1 | (6.095108151730592e-280 623.4286175872204 -1.023855307931835e-30 -4.611903343813709e-134) | 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) |
| 0 | 0 | - | 0 | - | (neg.f64 s) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
| 0 | 0 | - | 0 | - | (neg.f64 t) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| 0 | 0 | - | 0 | - | c_p |
| 0 | 0 | - | 0 | - | (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 | 8 | (1.997438466447342e-249 6655189366.343348 -2652840.4190557464 3.117684394377885e-48) | 0 | - | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
| 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 | 12 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 12 | |
| ↳ | (*.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 | 24 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | underflow | 10 | |
| ↳ | (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 | 15 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 20 | |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 9 | |
| ↳ | (/.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 | 5 | |
| ↳ | (*.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 | 13 | |
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 | 8 | 1 |
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 | |
| ↳ | (/.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) | uflow-rescue | 2 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 12 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 12 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 10 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | sensitivity | 2 | 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 s))))) c_n) | uflow-rescue | 1 | 0 |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 12 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | underflow | 10 | |
| ↳ | (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 | 15 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 10 | |
pow.f64 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 22 | 0 |
| - | 5 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 22 | 0 | 0 |
| - | 5 | 1 | 228 |
| number | freq |
|---|---|
| 0 | 229 |
| 1 | 20 |
| 2 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 83.0ms | 486× | 0 | valid |
| 26.0ms | 2× | 3 | valid |
| 23.0ms | 16× | 2 | valid |
| 4.0ms | 8× | 1 | valid |
Compiled 593 to 92 computations (84.5% saved)
ival-pow: 62.0ms (57.5% of total)ival-div: 11.0ms (10.2% of total)ival-exp: 8.0ms (7.4% of total)ival-mult: 6.0ms (5.6% of total)ival-add: 5.0ms (4.6% of total)ival-sub: 5.0ms (4.6% of total)ival-neg: 5.0ms (4.6% of total)adjust: 3.0ms (2.8% of total)ival-true: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 606 |
| 1 | 250 | 606 |
| 2 | 673 | 606 |
| 3 | 1434 | 606 |
| 4 | 2151 | 606 |
| 5 | 2771 | 606 |
| 6 | 3184 | 606 |
| 7 | 3544 | 606 |
| 8 | 4123 | 606 |
| 9 | 4212 | 606 |
| 10 | 4228 | 606 |
| 11 | 4228 | 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 |
|---|---|---|
| ▶ | 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) (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)) |
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 | 0.28742795560868756 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.4843639877323808 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 1.4530919631971562 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 2.937504123049824 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 43.0ms | 243× | 0 | valid |
| 12.0ms | 1× | 3 | valid |
| 7.0ms | 8× | 2 | valid |
| 4.0ms | 4× | 1 | valid |
Compiled 366 to 46 computations (87.4% saved)
ival-pow: 24.0ms (46.5% of total)ival-div: 7.0ms (13.6% of total)ival-neg: 5.0ms (9.7% of total)ival-exp: 4.0ms (7.8% of total)ival-mult: 4.0ms (7.8% of total)ival-add: 3.0ms (5.8% of total)ival-sub: 3.0ms (5.8% of total)adjust: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| Outputs |
|---|
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(+ (* c_p (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
1 |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(* (pow (- 1 (/ 1 (+ 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 (+ 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) |
(+ (* c_n (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(+ (* c_n (+ (* 1/2 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(+ (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (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))) |
(+ (* c_n (- (+ (* c_n (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (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))) |
(+ (* c_n (- (+ (* c_n (- (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* c_n (- (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/6 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))))) (+ (* 1/2 (/ (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (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 1/2 c_n) (pow 1/2 c_p))) |
(+ (* -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 (/ 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 1/2 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))) |
(+ (* 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)))) |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(/ 1 (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(+ 1 (exp (* -1 s))) |
(/ (* (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))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 110.0ms | 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) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 59.0ms | c_p | @ | inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg 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) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 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) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 55.0ms | 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) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 53.0ms | 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) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 4753 |
| 1 | 1288 | 4175 |
| 2 | 4704 | 3642 |
| 0 | 8684 | 3337 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(+ (* c_p (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
1 |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
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(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
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(pow 1/2 c_p) |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
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1/2 |
(+ 1/2 (* 1/4 s)) |
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2 |
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(+ (* 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)))) |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(/ 1 (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(+ 1 (exp (* -1 s))) |
(/ (* (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))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
| Outputs |
|---|
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(+ (* c_p (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(*.f64 (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) |
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(fma.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) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_p (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) |
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(fma.f64 (*.f64 c_p c_p) (*.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) (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) c_p #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1/2 binary64))) c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) c_p #s(literal 1 binary64)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (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)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (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 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_p (/.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))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (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(literal 1/2 binary64)) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) c_p (/.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))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (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(literal 1/6 binary64)) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 3 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (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(literal 1/2 binary64)) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) c_p (fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (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(literal 1/2 binary64)) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) c_p (/.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))) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 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 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1/2 binary64))) c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p #s(literal 1 binary64)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) |
(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 (+ 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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(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))) s (*.f64 #s(literal 1/2 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 #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(literal 1/2 binary64) s #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 #s(literal 1/2 binary64) c_p (*.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)))) |
(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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (*.f64 (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 (pow.f64 #s(literal 1/2 binary64) c_n) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (*.f64 (/.f64 (/.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.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 #s(literal 1/2 binary64) c_n) (fma.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64)) (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))))))) s (*.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 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)))) s)) |
(+ (* 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 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 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) 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)) (fma.f64 (/.f64 (/.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.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 #s(literal 1/2 binary64) c_n) (fma.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64)) (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 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 (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))) (*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (fma.f64 (/.f64 (*.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 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (*.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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (*.f64 (/.f64 (/.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.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 #s(literal 1/2 binary64) c_n) (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))) s (*.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 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)))) s)) |
(+ 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 (*.f64 s s) #s(literal 1/48 binary64) #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))) |
(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)) |
(/ 1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(+ 1 (exp (neg s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) 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 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) |
(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) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(+ 1 (exp (* -1 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #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 (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))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 103 |
| 0 | 39 | 103 |
| 1 | 151 | 103 |
| 2 | 1022 | 98 |
| 0 | 8636 | 86 |
| 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) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| Outputs |
|---|
(*.f64 (*.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64))))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64))) |
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(/.f64 (expm1.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (*.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))))) (exp.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))))) (exp.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(fma.f64 #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 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(exp.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
Compiled 33 500 to 2 476 computations (92.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 575 | 9 | 584 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 576 | 9 | 585 |
| Status | Accuracy | Program |
|---|---|---|
| 94.8% | (/.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) (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #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))) | |
| 87.4% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) 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))) | |
| ▶ | 90.2% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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))) |
| 94.2% | (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n (*.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))))))) |
| ▶ | 96.2% | (exp.f64 (-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n)))) |
| ▶ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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))) |
| 93.3% | #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) (/.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))) | |
| ▶ | 91.9% | #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 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))) |
Compiled 922 to 556 computations (39.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))))) | |
| 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 #s(literal 1/2 binary64) c_p) 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 | 12352 | (*.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 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #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) (+.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 | 13632 | (/.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 | 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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) | |
| cost-diff | 768 | (-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 942 |
| 0 | 143 | 948 |
| 1 | 239 | 947 |
| 2 | 436 | 926 |
| 3 | 914 | 853 |
| 4 | 1878 | 853 |
| 5 | 3094 | 853 |
| 6 | 4590 | 853 |
| 7 | 6013 | 853 |
| 8 | 6584 | 853 |
| 9 | 7141 | 853 |
| 0 | 8060 | 827 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n)))) |
(-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) |
(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 |
c_p |
(*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n) |
(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) |
c_n |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n)) |
(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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) |
(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 |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(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 |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
c_n |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 #s(literal 1/2 binary64) c_p) 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 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (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(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
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))))) |
(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))) |
| Outputs |
|---|
(exp.f64 (-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 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))))) (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)) |
(-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) |
(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)) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) |
(fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 s))) (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))))) |
(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 |
c_p |
(*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n) |
(*.f64 c_n (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 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) |
c_n |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n)) |
(fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) |
(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 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(/.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 |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (exp.f64 c_p) (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) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(/.f64 (pow.f64 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow.f64 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(/.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 |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
c_n |
(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 (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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) c_p) #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)))) (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)) |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 (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 #s(literal 1/2 binary64) c_p) 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (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(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
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 (-.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 (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)))))) |
(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))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.48417813235004736 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 0.4880943274646713 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 50.4183134550035 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) | |
| accuracy | 50.50847173924848 | (-.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 | 0.08137416635193345 | #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| accuracy | 0.28742795560868756 | (-.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 | 1.214857505254126 | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 | 0.28742795560868756 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.4843639877323808 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 0.4960992521016504 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) | |
| accuracy | 0.7461020031524757 | (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) | |
| accuracy | 0.2800663048545988 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 | 0.4843639877323808 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #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 | 0.4882867521016504 | (/.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 | 0.2737475128862358 | (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) | |
| accuracy | 0.48417813235004736 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 0.4880943274646713 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 43.031533794070015 | (-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) |
| 282.0ms | 185× | 1 | valid |
| 83.0ms | 9× | 4 | exit |
| 76.0ms | 24× | 2 | valid |
| 34.0ms | 24× | 0 | valid |
| 9.0ms | 10× | 1 | exit |
| 2.0ms | 4× | 0 | exit |
Compiled 1 893 to 150 computations (92.1% saved)
ival-pow: 111.0ms (28% of total)ival-exp: 58.0ms (14.6% of total)ival-log1p: 52.0ms (13.1% of total)adjust: 47.0ms (11.8% of total)ival-sub: 40.0ms (10.1% of total)ival-mult: 37.0ms (9.3% of total)ival-div: 25.0ms (6.3% of total)ival-add: 19.0ms (4.8% of total)ival-neg: 6.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(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)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #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 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 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 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (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))) |
(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) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (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) (exp.f64 (neg.f64 t)))) c_p) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(-.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)))) |
| Outputs |
|---|
(- (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (* -1 (log (+ 1 (exp (neg s))))) (* -1 (log (+ 1 (exp (neg t)))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) |
(+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) |
1 |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(/ 1 (pow 1/2 c_n)) |
(+ (* c_p (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n)))) (/ 1 (pow 1/2 c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow 1/2 c_n))) (+ (* 1/2 (/ (pow (log 1/2) 2) (pow 1/2 c_n))) (* (log 1/2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n))))))) (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n))) (/ (log 1/2) (pow 1/2 c_n)))) (/ 1 (pow 1/2 c_n))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow 1/2 c_n))) (* c_p (- (* 1/6 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow 1/2 c_n))) (+ (* 1/6 (/ (pow (log 1/2) 3) (pow 1/2 c_n))) (+ (* 1/2 (* (pow (log 1/2) 2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n))))) (* (log 1/2) (- (* 1/2 (/ (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow 1/2 c_n))) (+ (* 1/2 (/ (pow (log 1/2) 2) (pow 1/2 c_n))) (* (log 1/2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n)))))))))))) (+ (* 1/2 (/ (pow (log 1/2) 2) (pow 1/2 c_n))) (* (log 1/2) (- (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n)) (/ (log 1/2) (pow 1/2 c_n))))))) (/ (log (/ 1 (+ 1 (exp (neg s))))) (pow 1/2 c_n))) (/ (log 1/2) (pow 1/2 c_n)))) (/ 1 (pow 1/2 c_n))) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(+ (* c_p (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(+ (* 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 1/2 c_n) (pow 1/2 c_p))) |
(+ (* 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)))) (* t (+ (* -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))) |
(+ (* 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)))) (* t (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* t (+ (* -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))) |
1/2 |
(+ 1/2 (* -1/4 t)) |
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4))) |
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(- (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))))) |
(+ (* 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 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)) |
(- (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)) |
(- (+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(log (+ 1 (exp (neg t)))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(/ (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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- (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 (exp (* -1 t)))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (+ (* -1 (* c_p (log 2))) (* c_n (log 1/2))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(- (+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(- (+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* 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 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (* -1 (* c_p (log 2))) (* c_n (log 1/2))) |
(+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
(+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* 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) (* -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) (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))) |
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(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(+ (* 1/2 (* 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)) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(+ (* 1/2 (/ (* c_p s) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))))))) (/ 1 (pow 1/2 c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (+ (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))) (* s (+ (* -1/16 (/ (pow c_p 2) (pow 1/2 c_n))) (* 1/48 (/ (pow c_p 3) (pow 1/2 c_n)))))))))) (/ 1 (pow 1/2 c_n))) |
(- (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))))))))))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 s)) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (+ (log 1/2) (* s (- (* -1/8 s) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(log (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(- (+ (* -1 (* c_p (log (+ 1 (exp (* -1 s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (* -1 (* c_p (log (+ 1 (exp (* -1 s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))))) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(log (+ 1 (exp (* -1 s)))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) 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))) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(+ 1 (exp (* -1 s))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 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))))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 257.0ms | s | @ | inf | ((- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg t))) -1))) c_n))) (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (/ (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) (+ (exp (neg s)) 1) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (- (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)))))) (log (+ 1 (exp (neg t)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) |
| 103.0ms | t | @ | -inf | ((- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg t))) -1))) c_n))) (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (/ (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) (+ (exp (neg s)) 1) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (- (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)))))) (log (+ 1 (exp (neg t)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) |
| 101.0ms | t | @ | inf | ((- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg t))) -1))) c_n))) (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (/ (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) (+ (exp (neg s)) 1) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (- (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)))))) (log (+ 1 (exp (neg t)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) |
| 86.0ms | s | @ | -inf | ((- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg t))) -1))) c_n))) (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (/ (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) (+ (exp (neg s)) 1) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (- (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)))))) (log (+ 1 (exp (neg t)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) |
| 73.0ms | c_p | @ | inf | ((- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg t))) -1))) c_n))) (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (/ (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) (+ (exp (neg s)) 1) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (/ 1 (+ 1 (exp (neg t))))) (- (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)))))) (log (+ 1 (exp (neg t)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 979 | 9880 |
| 1 | 3056 | 8937 |
| 0 | 8685 | 7995 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (* -1 (log (+ 1 (exp (neg s))))) (* -1 (log (+ 1 (exp (neg t)))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) |
(+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) |
1 |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
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(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
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(/ 1 (pow 1/2 c_n)) |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(+ (* 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)))) (* t (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* t (+ (* -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))) |
1/2 |
(+ 1/2 (* -1/4 t)) |
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4))) |
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(- (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))))) |
(+ (* 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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(log 2) |
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(+ (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) |
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(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
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(- (+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(log (+ 1 (exp (neg t)))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
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(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
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(log (+ 1 (exp (* -1 t)))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (+ (* -1 (* c_p (log 2))) (* c_n (log 1/2))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(+ (* -1 (* c_p (log 2))) (* c_n (log 1/2))) |
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(+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* 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)) |
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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_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 (* 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)) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(+ (* 1/2 (/ (* c_p s) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))))))) (/ 1 (pow 1/2 c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (+ (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))) (* s (+ (* -1/16 (/ (pow c_p 2) (pow 1/2 c_n))) (* 1/48 (/ (pow c_p 3) (pow 1/2 c_n)))))))))) (/ 1 (pow 1/2 c_n))) |
(- (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))))))))))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 s)) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (+ (log 1/2) (* s (- (* -1/8 s) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(log (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(- (+ (* -1 (* c_p (log (+ 1 (exp (* -1 s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (* -1 (* c_p (log (+ 1 (exp (* -1 s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))))) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(log (+ 1 (exp (* -1 s)))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) 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))) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(+ 1 (exp (* -1 s))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 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))))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
| Outputs |
|---|
(- (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_n (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 (- (* -1 (log (+ 1 (exp (neg s))))) (* -1 (log (+ 1 (exp (neg t)))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(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 (neg.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) |
(*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) |
(fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (*.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 s))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(fma.f64 (neg.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))))) c_p (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)) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))))))) c_p (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t))))))) c_p (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)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (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)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (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 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t))))) c_p (/.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))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
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(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* -1 (/ (* c_p (log (+ 1 (exp (neg s))))) c_n))) (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* -1 (/ (* c_p (log (+ 1 (exp (neg t))))) c_n))))) |
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(* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* -1 (/ (* c_p (log (+ 1 (exp (neg s))))) c_n)))) |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(+ (* 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)))) (* t (+ (* -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 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c_n) (*.f64 c_p (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 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)))) t (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* 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)))) (* t (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* t (+ (* -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 (*.f64 (*.f64 #s(literal -1/4 binary64) c_n) (*.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 #s(literal -1/8 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) (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 #s(literal -1/16 binary64) c_p) c_p (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (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)))))))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)))) t (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
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 (- (* 1/48 (pow t 2)) 1/4))) |
(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 (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(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 (+ 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 #s(literal -1/192 binary64) (*.f64 t t) #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_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)))))))) |
(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) t) (+.f64 c_n c_p) (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) (* (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 #s(literal 1/2 binary64) c_n))) 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 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 #s(literal -1/192 binary64) (*.f64 t t) #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) 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 (* (+ (* -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 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 #s(literal -1/8 binary64) c_p)) (*.f64 #s(literal 1/2 binary64) c_p))) 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 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.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)) |
(- (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 #s(literal -1/192 binary64) (*.f64 t t) #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)))) |
(- (+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(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 (neg.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(- (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)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(- (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))))) |
(- (+ (* -1 (* c_p (log (+ 1 (exp (neg s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (* -1 t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))))) |
(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 (neg.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/ (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 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 (-.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 (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(- (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)))) |
(+ (* 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)) |
(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) |
(- (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))))) |
(- (+ (* -1 (* c_p (log 2))) (* c_n (log 1/2))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(fma.f64 (neg.f64 c_p) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) c_n (fma.f64 (neg.f64 c_n) (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))) c_p)))) |
(- (+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(fma.f64 (neg.f64 c_p) (log.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (fma.f64 (log.f64 #s(literal 1/2 binary64)) c_n (fma.f64 (neg.f64 c_n) (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))) c_p))))) |
(- (+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(fma.f64 (neg.f64 c_p) (log.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) s) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s (fma.f64 (log.f64 #s(literal 1/2 binary64)) c_n (fma.f64 (neg.f64 c_n) (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))) c_p))))) |
(- (+ (* -1 (* c_p (log 2))) (+ (* c_n (log 1/2)) (* 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 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
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(+ (* -1 (* c_p (log 2))) (* c_n (log 1/2))) |
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(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 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(literal 1/2 binary64) s #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)) |
(+ 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 (*.f64 s s) #s(literal 1/48 binary64) #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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 s s) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 s s) #s(literal -1/4 binary64)) s #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (* c_p s) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n))) |
(fma.f64 (*.f64 c_p (/.f64 s (pow.f64 #s(literal 1/2 binary64) c_n))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))))))) (/ 1 (pow 1/2 c_n))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c_p c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal 1/8 binary64) (*.f64 (/.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal -1/8 binary64))) s (*.f64 (/.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal 1/2 binary64))) s (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* s (+ (* 1/2 (/ c_p (pow 1/2 c_n))) (* s (+ (* -1/8 (/ c_p (pow 1/2 c_n))) (+ (* 1/8 (/ (pow c_p 2) (pow 1/2 c_n))) (* s (+ (* -1/16 (/ (pow c_p 2) (pow 1/2 c_n))) (* 1/48 (/ (pow c_p 3) (pow 1/2 c_n)))))))))) (/ 1 (pow 1/2 c_n))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c_p #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p)) (pow.f64 #s(literal 1/2 binary64) c_n))) s (fma.f64 (/.f64 (*.f64 c_p c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal 1/8 binary64) (*.f64 (/.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal -1/8 binary64)))) s (*.f64 (/.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal 1/2 binary64))) s (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(- (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(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 (* -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 (-.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 (-.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 #s(literal 1/2 binary64) c_p)) s))) |
(+ (* 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)))))))) |
(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 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) s) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s))) |
(+ (* 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))))))))))) |
(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 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 s s) #s(literal 1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s))) |
(log 1/2) |
(log.f64 #s(literal 1/2 binary64)) |
(+ (log 1/2) (* -1/2 s)) |
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(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 (log.f64 #s(literal 1/2 binary64))) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 c_p c_p) (*.f64 #s(literal -1/8 binary64) c_p)) c_n) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p) (fma.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) (fma.f64 (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) c_p) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 c_n c_n))))))) s (*.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)))))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.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))))) |
(- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (+ (log 1/2) (* s (- (* -1/8 s) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (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 (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(+ 1 (exp (neg s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(- (+ (* -1 (* c_p (log (+ 1 (exp (* -1 s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))))) (+ (* -1 (* c_p (log (+ 1 (exp (neg t)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(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 (neg.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(+ (* -1 (* c_p (log (+ 1 (exp (* -1 s)))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))))) |
(fma.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n (*.f64 (neg.f64 c_p) (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))) |
(/ (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 (+ 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 (-.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 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(+ 1 (exp (* -1 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(- (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)) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) (/.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 #s(literal 1/2 binary64) c_n))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 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))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 488 |
| 0 | 139 | 464 |
| 1 | 532 | 440 |
| 2 | 3721 | 430 |
| 0 | 8169 | 430 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(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)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #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 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 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 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (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))) |
(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) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) (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) (exp.f64 (neg.f64 t)))) c_p) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(-.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)))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) #s(literal 2 binary64))) (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (-.f64 (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) #s(literal 2 binary64))) (+.f64 (+.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))) #s(literal 2 binary64))) (-.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (-.f64 (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))) #s(literal 2 binary64))) (-.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))) #s(literal 2 binary64)) (*.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (-.f64 (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (pow.f64 (fma.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n))) (*.f64 (-.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))))) (-.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))))) (-.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c_p (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) (-.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (*.f64 c_n (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))))) (fma.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) (-.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p) #s(literal 2 binary64))))) |
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(-.f64 (log.f64 (expm1.f64 (-.f64 (neg.f64 s) s))) (log.f64 (expm1.f64 (neg.f64 s)))) |
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(-.f64 (log1p.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64))) (log.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 s))))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64))) (log1p.f64 (*.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 (neg.f64 s)) (expm1.f64 (-.f64 (neg.f64 s) s))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64)))))) |
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
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(-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 0 binary64)) |
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(*.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (exp.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 #s(literal 1/2 binary64) c_p)) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (pow.f64 (exp.f64 c_p) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(pow.f64 (pow.f64 (exp.f64 c_p) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))) c_p) #s(literal 2 binary64)) (pow.f64 (*.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) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))) c_p) (*.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)))) |
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(fma.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.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)) |
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(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 0 binary64)) |
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(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) c_p) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) c_p)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) c_p)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) c_p)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_p)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 #s(literal -1 binary64) c_p)) |
(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) c_p))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c_p))) |
(/.f64 (pow.f64 (exp.f64 c_p) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 c_p) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) c_p)) |
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 #s(literal 1/2 binary64) c_p)))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 #s(literal 1/2 binary64) c_p)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))) #s(literal -1 binary64) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 #s(literal 1/2 binary64) c_p))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 c_p)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) c_p))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) c_p)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal 1/2 binary64) c_p)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (*.f64 #s(literal -1 binary64) c_p))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 s #s(literal 1/2 binary64)) c_p #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (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)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) (+.f64 (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (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)))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) (+.f64 (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (neg.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (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)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) (+.f64 (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (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))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (neg.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) (+.f64 (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (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)))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) (+.f64 (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 3 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(fma.f64 #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)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (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))))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (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)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) (+.f64 (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) (+.f64 (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(-.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 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))))) (log1p.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(+.f64 (neg.f64 (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)))) |
(+.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (neg.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))) |
(log.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
Compiled 73 596 to 4 767 computations (93.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 057 | 11 | 1 068 |
| Fresh | 3 | 1 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 065 | 12 | 1 077 |
| Status | Accuracy | Program |
|---|---|---|
| 90.2% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 #s(approx (- 1 (/ 1 (+ 1 (exp (neg t))))) (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))) c_n))) | |
| 93.8% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 t)))) 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))) | |
| 95.3% | (exp.f64 #s(approx (- (+ (* (neg (log (+ 1 (exp (neg s))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg s))) -1))) c_n)) (+ (* (neg (log (+ 1 (exp (neg t))))) c_p) (* (log (+ 1 (pow (- -1 (exp (neg t))) -1))) 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_n))) | |
| ▶ | 98.5% | (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)))))) (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 #s(literal 1/2 binary64) c_n))) 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))))) |
| ▶ | 93.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))))) |
| 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) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| 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 #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))) | |
| 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) (/.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))) | |
| ▶ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| ▶ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
| 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) | |
| ▶ | 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n)))) |
Compiled 1 814 to 1 024 computations (43.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| cost-diff | 0 | (/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) | |
| cost-diff | 0 | (/.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 #s(literal 1/2 binary64) c_n)) | |
| cost-diff | 0 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) | |
| cost-diff | 128 | (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) | |
| 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1102 |
| 0 | 178 | 1102 |
| 1 | 316 | 1100 |
| 2 | 610 | 1079 |
| 3 | 1595 | 1079 |
| 4 | 4962 | 1079 |
| 5 | 5906 | 1079 |
| 0 | 8312 | 1062 |
| 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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 #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 #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 #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) |
(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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) |
(*.f64 #s(literal -1/4 binary64) c_p) |
#s(literal -1/4 binary64) |
c_p |
c_n |
(fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) |
#s(literal 1/8 binary64) |
(fma.f64 c_p c_p (*.f64 c_n c_n)) |
(*.f64 c_n c_n) |
(*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)) |
#s(literal -1/8 binary64) |
(+.f64 c_p c_n) |
s |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 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 #s(literal 1/2 binary64) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #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_n |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))))) |
(/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)))) |
(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 |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(neg.f64 c_p) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) |
(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 #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) |
(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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p (fma.f64 #s(literal -1/8 binary64) c_n (*.f64 (fma.f64 c_p c_p (*.f64 c_n c_n)) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p (fma.f64 #s(literal -1/8 binary64) c_n (*.f64 (fma.f64 c_p c_p (*.f64 c_n c_n)) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p (fma.f64 #s(literal -1/8 binary64) c_n (*.f64 (fma.f64 c_p c_p (*.f64 c_n c_n)) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p (fma.f64 #s(literal -1/8 binary64) c_n (*.f64 (fma.f64 c_p c_p (*.f64 c_n c_n)) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p (fma.f64 #s(literal -1/8 binary64) c_n (*.f64 (fma.f64 c_p c_p (*.f64 c_n c_n)) #s(literal 1/8 binary64)))) |
(*.f64 #s(literal -1/4 binary64) c_p) |
#s(literal -1/4 binary64) |
c_p |
c_n |
(fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64)) c_n (*.f64 (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64)) c_p)) |
#s(literal 1/8 binary64) |
(fma.f64 c_p c_p (*.f64 c_n c_n)) |
(*.f64 c_n c_n) |
(*.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) |
(+.f64 c_p c_n) |
(+.f64 c_n c_p) |
s |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) (pow.f64 #s(literal 1/2 binary64) c_n)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) (pow.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) c_n)) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(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 (pow.f64 (-.f64 #s(literal -1 binary64) (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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (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_n |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p) #s(literal 1 binary64))))) |
(/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)))) |
(/.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 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p) #s(literal 1 binary64)))) |
(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 s)) #s(literal -1 binary64))) c_p) |
(/.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)) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p) #s(literal 1 binary64)) |
(neg.f64 c_p) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2800663048545988 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))))) | |
| accuracy | 0.4843639877323808 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 0.4882867521016504 | (/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)))) | |
| accuracy | 0.8321298098707565 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))) | |
| accuracy | 0.24218199386619269 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) | |
| accuracy | 0.28742795560868756 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.3434345786439759 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n))) | |
| accuracy | 0.7343832531524757 | (/.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 #s(literal 1/2 binary64) c_n)) | |
| accuracy | 0.0078125 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) | |
| accuracy | 0.01953125 | (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) | |
| accuracy | 0.182682549558313 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) | |
| accuracy | 0.3871051553679903 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) | |
| accuracy | 0.2800663048545988 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 | 0.34750418870528305 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) | |
| accuracy | 0.4880943274646713 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 0.5158736957798933 | (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 52.227130740604004 | (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) | |
| accuracy | 52.247812246873146 | (-.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))) |
| 421.0ms | 214× | 1 | valid |
| 52.0ms | 8× | 4 | exit |
| 23.0ms | 1× | 3 | valid |
| 14.0ms | 5× | 2 | valid |
| 13.0ms | 11× | 1 | exit |
| 9.0ms | 13× | 0 | valid |
| 3.0ms | 4× | 0 | exit |
Compiled 1 957 to 221 computations (88.7% saved)
ival-pow: 90.0ms (19% of total)adjust: 72.0ms (15.2% of total)ival-log1p: 67.0ms (14.1% of total)ival-mult: 66.0ms (13.9% of total)ival-exp: 53.0ms (11.2% of total)ival-add: 35.0ms (7.4% of total)ival-log: 28.0ms (5.9% of total)ival-div: 27.0ms (5.7% of total)ival-sub: 22.0ms (4.6% of total)ival-neg: 7.0ms (1.5% of total)const: 4.0ms (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 |
|---|
(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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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)) |
(fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 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 #s(literal 1/2 binary64) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))))) |
(/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)))) |
(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))) |
(-.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 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))) |
| Outputs |
|---|
(+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)) |
(+ (* -1/192 (* c_n (pow t 2))) (+ (* 1/8 c_n) (* c_p (+ 1/8 (* -1/192 (pow t 2)))))) |
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
1 |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) |
(+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/8 (pow c_n 2)))) |
(+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* c_p (- (* 1/8 c_p) 1/8)))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* (log 1/2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/6 (/ (* (pow (log 1/2) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/2 (* (pow (log 1/2) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* (log 1/2) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* (log 1/2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log 1/2) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (* (log 1/2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (log 1/2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) |
(+ 1 (+ (* c_p (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
(+ 1 (+ (* c_p (+ (* 1/8 (* c_p (pow s 2))) (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))) |
(+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) |
(+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (+ (* 1/8 (* c_p s)) (* s (- (* -1/4 c_n) 1/8))))) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))) |
(* c_p (+ 1/8 (* -1/192 (pow t 2)))) |
(* c_p (+ 1/8 (+ (* -1/192 (/ (* c_n (pow t 2)) c_p)) (+ (* -1/192 (pow t 2)) (* 1/8 (/ c_n 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))))))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
(* 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)))))) |
(/ (* (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)) |
(* 1/8 (pow c_p 2)) |
(* (pow c_p 2) (- 1/8 (* 1/8 (/ 1 c_p)))) |
(* (pow c_p 2) (- (+ 1/8 (+ (* -1/8 (/ c_n (pow c_p 2))) (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) (* 1/8 (/ 1 c_p)))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(* 1/8 (* (pow c_p 2) (pow s 2))) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p))) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(* 1/8 (* (pow c_p 2) s)) |
(* (pow c_p 2) (+ (* 1/8 s) (+ (* 1/2 (/ 1 c_p)) (/ (* s (- (* -1/4 c_n) 1/8)) c_p)))) |
(* (pow c_p 2) (+ (* -1/2 (/ c_n (pow c_p 2))) (+ (* 1/8 s) (+ (* 1/2 (/ 1 c_p)) (+ (/ (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow c_p 2)) (/ (* s (- (* -1/4 c_n) 1/8)) c_p)))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(* -1 (* c_p (- (* 1/192 (pow t 2)) 1/8))) |
(* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)) c_p)) (* 1/192 (pow t 2))) 1/8))) |
(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 (* 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))))) |
(* -1 (* c_p (+ (* -1 (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (- (* 1/192 (pow t 2)) 1/8))))))) |
(* -1 (* c_p (+ (* -1 (- (log 2) (log (+ 1 (exp (neg s)))))) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))) c_p)) (* t (+ 1/2 (* t (- (* 1/192 (pow t 2)) 1/8)))))))) |
(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (* -1 (/ (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) c_p))) c_p)))) |
(* (pow c_p 2) (+ (* -1 (/ (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2)) c_p)) (* 1/8 (pow s 2)))) |
(* (pow c_p 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) c_p)) (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2))) c_p)) (* 1/8 (pow s 2)))) |
(* (pow c_p 2) (+ (* -1 (/ (- (* s (+ 1/8 (* 1/4 c_n))) 1/2) c_p)) (* 1/8 s))) |
(* (pow c_p 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))) c_p)) (* s (+ 1/8 (* 1/4 c_n)))) 1/2) c_p)) (* 1/8 s))) |
(+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p)) |
(+ (* -1/192 (* c_p (pow t 2))) (+ (* 1/8 c_p) (* c_n (+ 1/8 (* -1/192 (pow t 2)))))) |
(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (* (exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))) |
(+ (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))))))))))) |
(+ (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))))))))))) |
(+ (* 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)))))) |
(+ (* 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))))))) |
(+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2))))) |
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(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (* -1 (/ (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) c_n))) c_n)))) |
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) |
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(* 1/8 (+ c_n c_p)) |
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(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(pow 1/2 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)) |
(* -1/192 (* (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))))) |
(* -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)))))))) |
(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))))))) |
(* (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 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(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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(/ (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))) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(+ 1 (* -1/2 (* c_n s))) |
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2)))))))))) |
(pow 1/2 c_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
(+ (* 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))))) |
(* -1/2 s) |
(* s (- (* -1/8 s) 1/2)) |
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
(* s (- (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)) 1/2)) |
(* 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)))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 s)) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(log 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))) |
(+ (* -1/2 c_n) (* 1/2 c_p)) |
(+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))) |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(/ 1 (+ 1 (exp (neg s)))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (log 2) (log (+ 1 (exp (neg s))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log (+ 1 (exp (neg s)))) |
(* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* s (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(+ (* 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))))))) |
(+ (* 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))))))))) |
(/ (* (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))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log 2) (log (+ 1 (exp (* -1 s))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log (+ 1 (exp (* -1 s)))) |
(* -1 (* s (+ (* -1 (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) (* -1 (/ (+ (* -1/2 c_n) (* 1/2 c_p)) s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 128.0ms | 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) (* 1/2 c_n))) 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)) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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)) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log 2) (log (+ 1 (exp (neg s))))) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (exp (neg s)))) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 100.0ms | 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) (* 1/2 c_n))) 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)) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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)) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log 2) (log (+ 1 (exp (neg s))))) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (exp (neg s)))) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 48.0ms | 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) (* 1/2 c_n))) 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)) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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)) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log 2) (log (+ 1 (exp (neg s))))) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (exp (neg s)))) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 46.0ms | 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) (* 1/2 c_n))) 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)) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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)) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log 2) (log (+ 1 (exp (neg s))))) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (exp (neg s)))) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 35.0ms | 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) (* 1/2 c_n))) 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)) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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)) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log 2) (log (+ 1 (exp (neg s))))) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (exp (neg s)))) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1289 | 11937 |
| 1 | 4073 | 11082 |
| 0 | 8051 | 9950 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)) |
(+ (* -1/192 (* c_n (pow t 2))) (+ (* 1/8 c_n) (* c_p (+ 1/8 (* -1/192 (pow t 2)))))) |
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))) |
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(* c_n (+ 1/8 (* -1/192 (pow t 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))))))) (log 1/2))) |
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(* 1/8 (pow c_n 2)) |
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(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) |
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(* 1/8 (+ c_n c_p)) |
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(+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(pow 1/2 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)) |
(* -1/192 (* (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))))) |
(* -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)))))))) |
(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))))))) |
(* (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 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(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))) |
(+ (* 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 1/2 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))) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(+ 1 (* -1/2 (* c_n s))) |
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2)))))))))) |
(pow 1/2 c_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
(+ (* 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))))) |
(* -1/2 s) |
(* s (- (* -1/8 s) 1/2)) |
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
(* s (- (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)) 1/2)) |
(* 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)))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 s)) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(log 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))) |
(+ (* -1/2 c_n) (* 1/2 c_p)) |
(+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))) |
(+ 1/2 (* -1/4 s)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(/ 1 (+ 1 (exp (neg s)))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (log 2) (log (+ 1 (exp (neg s))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log (+ 1 (exp (neg s)))) |
(* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* s (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(+ (* 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))))))) |
(+ (* 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))))))))) |
(/ (* (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))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log 2) (log (+ 1 (exp (* -1 s))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log (+ 1 (exp (* -1 s)))) |
(* -1 (* s (+ (* -1 (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) (* -1 (/ (+ (* -1/2 c_n) (* 1/2 c_p)) s))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
| Outputs |
|---|
(+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)) |
(fma.f64 #s(literal 1/8 binary64) c_n (*.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64))) |
(+ (* -1/192 (* c_n (pow t 2))) (+ (* 1/8 c_n) (* c_p (+ 1/8 (* -1/192 (pow t 2)))))) |
(fma.f64 (*.f64 (*.f64 t t) c_n) #s(literal -1/192 binary64) (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p (*.f64 #s(literal 1/8 binary64) c_n))) |
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
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(+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))) |
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(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))) |
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(* c_p (+ 1/8 (* -1/192 (pow t 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)))))) (* 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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(* 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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)))))) |
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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 #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
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(/.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)) |
(* 1/8 (pow c_p 2)) |
(*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) |
(* (pow c_p 2) (- 1/8 (* 1/8 (/ 1 c_p)))) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) c_p)) (*.f64 c_p c_p)) |
(* (pow c_p 2) (- (+ 1/8 (+ (* -1/8 (/ c_n (pow c_p 2))) (* 1/8 (/ (pow c_n 2) (pow c_p 2))))) (* 1/8 (/ 1 c_p)))) |
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(* 1/8 (* (pow c_p 2) (pow s 2))) |
(*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s)) |
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(*.f64 (fma.f64 (*.f64 s s) #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s) c_p)) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
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(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) |
(* 1/8 (* (pow c_p 2) s)) |
(*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64)) |
(* (pow c_p 2) (+ (* 1/8 s) (+ (* 1/2 (/ 1 c_p)) (/ (* s (- (* -1/4 c_n) 1/8)) c_p)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) s (fma.f64 s (/.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p) (/.f64 #s(literal 1/2 binary64) c_p))) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ (* -1/2 (/ c_n (pow c_p 2))) (+ (* 1/8 s) (+ (* 1/2 (/ 1 c_p)) (+ (/ (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow c_p 2)) (/ (* s (- (* -1/4 c_n) 1/8)) c_p)))))) |
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(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 (* c_p (- (* 1/192 (pow t 2)) 1/8))) |
(*.f64 (neg.f64 c_p) (fma.f64 #s(literal 1/192 binary64) (*.f64 t t) #s(literal -1/8 binary64))) |
(* -1 (* c_p (- (+ (* -1 (/ (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)) c_p)) (* 1/192 (pow t 2))) 1/8))) |
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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 (* 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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(* -1 (* c_p (+ (* -1 (- (log 2) (log (+ 1 (exp (neg s)))))) (+ (* -1 (/ (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))) c_p)) (* t (+ 1/2 (* t (- (* 1/192 (pow t 2)) 1/8)))))))) |
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(* (pow c_p 2) (+ 1/8 (* -1 (/ (+ 1/8 (* -1 (/ (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) c_p))) c_p)))) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) c_p)) c_p)) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ (* -1 (/ (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2)) c_p)) (* 1/8 (pow s 2)))) |
(*.f64 (fma.f64 (*.f64 s s) #s(literal 1/8 binary64) (*.f64 (neg.f64 s) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) c_n #s(literal 1/8 binary64)) s #s(literal -1/2 binary64)) c_p))) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) c_p)) (* s (- (* s (+ 1/8 (* 1/4 c_n))) 1/2))) c_p)) (* 1/8 (pow s 2)))) |
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(* (pow c_p 2) (+ (* -1 (/ (- (* s (+ 1/8 (* 1/4 c_n))) 1/2) c_p)) (* 1/8 s))) |
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(* (pow c_p 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))) c_p)) (* s (+ 1/8 (* 1/4 c_n)))) 1/2) c_p)) (* 1/8 s))) |
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(+ (* -1/192 (* c_p (pow t 2))) (* 1/8 c_p)) |
(fma.f64 (*.f64 (*.f64 t t) c_p) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) c_p)) |
(+ (* -1/192 (* c_p (pow t 2))) (+ (* 1/8 c_p) (* c_n (+ 1/8 (* -1/192 (pow t 2)))))) |
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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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(+ (* 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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(* c_n (+ 1/8 (* -1/192 (pow t 2)))) |
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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)))))) (+ (/ (* 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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(* 1/8 (pow c_n 2)) |
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(* 1/8 (* (pow c_n 2) (pow s 2))) |
(*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)) |
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(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
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(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (fma.f64 (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) s (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* c_n s))) |
(fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2)))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) c_n (fma.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))) s (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)))) s (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)) |
(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) s) c_n) #s(literal -1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.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))) s (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64))) s (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) 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 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) s (*.f64 #s(literal 1/2 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)) |
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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 (+ 1/4 (* -1/48 (pow s 2))))) |
(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 (+ 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)) |
(* -1/2 s) |
(*.f64 #s(literal -1/2 binary64) s) |
(* s (- (* -1/8 s) 1/2)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal -1/2 binary64)) s) |
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 s s) #s(literal -1/8 binary64)) s #s(literal -1/2 binary64)) s) |
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(* 1/2 s) |
(*.f64 #s(literal 1/2 binary64) s) |
(* s (+ 1/2 (* -1/8 s))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal 1/2 binary64)) s) |
(* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 s s) #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s) |
(* s (+ 1/2 (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2880 binary64) (*.f64 s s) #s(literal 1/192 binary64)) (*.f64 s s) #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s) |
(log 1/2) |
(log.f64 #s(literal 1/2 binary64)) |
(+ (log 1/2) (* -1/2 s)) |
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 s s) #s(literal -1/8 binary64)) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 1/2 binary64))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1/2 s)) |
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(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 (log.f64 #s(literal 2 binary64))) |
(+ (* -1/2 c_n) (* 1/2 c_p)) |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))) |
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(+ 1/2 (* -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))) |
(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)) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(*.f64 (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) (*.f64 s s)) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
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(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
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(/ 1 (+ 1 (exp (neg s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(-.f64 (log1p.f64 (neg.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 (+ 1 (exp (neg s))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(*.f64 (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) s) |
(* s (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(*.f64 (fma.f64 (/.f64 c_n s) #s(literal -1/2 binary64) (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64) (fma.f64 (/.f64 c_p s) #s(literal 1/2 binary64) (*.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64)))))) s) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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 1/2))) (+ (* 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 (neg.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 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
(/ (* (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 (-.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 (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 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) (/.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 #s(literal 1/2 binary64) c_n))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 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 #s(literal 1/2 binary64) c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(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 (/ 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) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(-.f64 (log1p.f64 (neg.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 (+ 1 (exp (* -1 s))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(* -1 (* s (+ (* -1 (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) (* -1 (/ (+ (* -1/2 c_n) (* 1/2 c_p)) s))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s) (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64))))) (neg.f64 s)) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 878 |
| 0 | 178 | 846 |
| 1 | 773 | 816 |
| 2 | 6200 | 816 |
| 0 | 8132 | 804 |
| 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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 #s(literal 1/2 binary64) c_n))) 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)) |
(fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 binary64) c_n)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) 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 #s(literal 1/2 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 #s(literal 1/2 binary64) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))))) |
(/.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 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)))) |
(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))) |
(-.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 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))))) |
(*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p))) (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p))) (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64))) (*.f64 t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p))) (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p))) (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(fma.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) t) #s(literal -1/192 binary64) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(fma.f64 (*.f64 t (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64))) t (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p))) |
(fma.f64 #s(literal 1/8 binary64) c_p (fma.f64 #s(literal 1/8 binary64) c_n (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)))) |
(fma.f64 (*.f64 t t) (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(fma.f64 t (*.f64 t (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64))) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(fma.f64 (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) (*.f64 t t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(fma.f64 (+.f64 c_n c_p) (*.f64 #s(literal -1/192 binary64) (*.f64 t t)) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(fma.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p))) |
(fma.f64 c_p #s(literal 1/8 binary64) (fma.f64 #s(literal 1/8 binary64) c_n (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (+.f64 c_n c_p) t) t) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))))) |
(+.f64 (fma.f64 (*.f64 t (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64))) t (*.f64 #s(literal 1/8 binary64) c_p)) (*.f64 #s(literal 1/8 binary64) c_n)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) c_p) (fma.f64 #s(literal 1/8 binary64) c_n (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)))) |
(+.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p)) (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p)) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n 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 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #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))))) |
#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 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) 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 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 #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)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 s) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 s) #s(literal -2 binary64)) #s(literal 1 binary64))) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 s))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64)))) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (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)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p) #s(literal 1 binary64))) |
Compiled 66 616 to 3 877 computations (94.2% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 592 | 9 | 601 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 601 | 12 | 613 |
| Status | Accuracy | Program |
|---|---|---|
| 93.8% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 t)))) 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))) | |
| ▶ | 99.8% | (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)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))))) |
| 92.5% | (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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t)))) | |
| ✓ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) | |
| ▶ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
| 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) | |
| 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s #s(literal 1 binary64)))) | |
| ▶ | 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
| ▶ | 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
| 5.1% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s))))) | |
| ▶ | 4.0% | #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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
Compiled 2 449 to 1 310 computations (46.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))) | |
| cost-diff | 0 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1510 |
| 0 | 172 | 1510 |
| 1 | 352 | 1487 |
| 2 | 765 | 1485 |
| 3 | 2133 | 1485 |
| 4 | 6162 | 1485 |
| 5 | 7015 | 1485 |
| 0 | 8075 | 1393 |
| 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)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t)) |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
#s(literal -1/2 binary64) |
c_n |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
s |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t) |
(fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) |
(fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n)) |
(*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
(+.f64 c_n c_p) |
(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) |
(*.f64 #s(literal 1/2 binary64) c_n) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 s c_n) |
s |
c_n |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)) |
(*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) |
(*.f64 c_n c_n) |
c_n |
#s(literal 1/8 binary64) |
(*.f64 s s) |
s |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 c_p c_p) s) |
(*.f64 c_p c_p) |
c_p |
s |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) |
(*.f64 #s(literal -1/4 binary64) c_p) |
#s(literal -1/4 binary64) |
c_p |
c_n |
#s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) |
(*.f64 c_p c_p) |
#s(literal 1/8 binary64) |
s |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
#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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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_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_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) 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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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_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_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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_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_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t)) |
(fma.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_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
#s(literal -1/2 binary64) |
c_n |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
s |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t) |
(*.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_n (*.f64 #s(literal -1/2 binary64) c_p))) t) |
(fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) |
(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_n (*.f64 #s(literal -1/2 binary64) c_p))) |
(fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n)) |
(fma.f64 (*.f64 (+.f64 c_n c_p) t) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) c_n)) |
(*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (+.f64 c_n c_p)) |
(+.f64 c_n c_p) |
(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) |
(*.f64 #s(literal 1/2 binary64) c_n) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 s c_n) |
(*.f64 c_n s) |
s |
c_n |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) s) s) #s(literal 1/8 binary64))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) s) s) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) s) s) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)) |
(*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) s) s) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) |
(*.f64 c_n c_n) |
c_n |
#s(literal 1/8 binary64) |
(*.f64 s s) |
s |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 c_p c_p) s) |
(*.f64 c_p c_p) |
c_p |
s |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) |
(*.f64 #s(literal -1/4 binary64) c_p) |
#s(literal -1/4 binary64) |
c_p |
c_n |
#s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) |
(*.f64 c_p c_p) |
#s(literal 1/8 binary64) |
s |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) | |
| accuracy | 0.182682549558313 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) | |
| accuracy | 0.3871051553679903 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) | |
| accuracy | 56.15889814498736 | #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64))) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 c_p c_p) s) | |
| accuracy | 0.182682549558313 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) | |
| accuracy | 0.3871051553679903 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64))) | |
| accuracy | 55.94622261116371 | #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)) | |
| accuracy | 0.182682549558313 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) | |
| accuracy | 0.3871051553679903 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)))) | |
| accuracy | 56.54360210001075 | #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))) | |
| accuracy | 0.0 | (*.f64 s c_n) | |
| accuracy | 0.030318559501736248 | #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.182682549558313 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| accuracy | 0.3434345786439759 | #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t) | |
| accuracy | 0.6380663452006241 | #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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t)))) | |
| accuracy | 2.24004568713523 | #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
| 458.0ms | 203× | 1 | valid |
| 48.0ms | 1× | 3 | valid |
| 46.0ms | 8× | 4 | exit |
| 23.0ms | 30× | 0 | valid |
| 12.0ms | 10× | 1 | exit |
| 3.0ms | 4× | 0 | exit |
Compiled 2 387 to 260 computations (89.1% saved)
ival-mult: 86.0ms (16.8% of total)ival-pow: 86.0ms (16.8% of total)ival-log: 64.0ms (12.5% of total)ival-log1p: 63.0ms (12.3% of total)adjust: 61.0ms (11.9% of total)ival-exp: 46.0ms (9% of total)ival-add: 45.0ms (8.8% of total)ival-sub: 27.0ms (5.3% of total)ival-div: 23.0ms (4.5% of total)ival-neg: 6.0ms (1.2% of total)const: 4.0ms (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 |
|---|
(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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t) |
(*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
(*.f64 s c_n) |
(*.f64 (*.f64 c_p c_p) s) |
#s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64))) |
| Outputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n))))))) |
(+ (* -1/2 (* c_n s)) (* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2)))))))) |
(+ (* -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))))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
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1 |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) |
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(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))) (log 1/2)))) |
(+ 1 (* -1/2 (* c_n s))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (+ (* c_n (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(* 1/8 (* (pow c_n 2) (pow s 2))) |
(+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) |
(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) |
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(* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) |
(+ (* 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 s) |
(+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) |
(+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (* 1/8 c_n) 1/8)))) |
(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))))))))) |
(* 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)))))))) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) |
(* 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))) |
(* c_n (+ (* -1/2 s) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))))) |
(* 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))))) |
(* -1/2 (* c_n s)) |
(* c_n (+ (* -1/2 s) (/ 1 c_n))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
(* 1/8 (* (pow c_n 2) s)) |
(* (pow c_n 2) (- (+ (* 1/8 s) (/ (* s (- (* -1/4 c_p) 1/8)) c_n)) (* 1/2 (/ 1 c_n)))) |
(* (pow c_n 2) (- (+ (* 1/8 s) (+ (* 1/2 (/ c_p (pow c_n 2))) (+ (/ (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow c_n 2)) (/ (* s (- (* -1/4 c_p) 1/8)) c_n)))) (* 1/2 (/ 1 c_n)))) |
(* c_n (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) |
(* 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))) |
(* c_n (+ 1/8 (+ (* -1/192 (pow t 2)) (/ (* c_p (+ 1/8 (* -1/192 (pow t 2)))) c_n)))) |
(* 1/8 (pow c_n 2)) |
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n)))) |
(* (pow c_n 2) (- (+ 1/8 (+ (* -1/8 (/ c_p (pow c_n 2))) (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) (* 1/8 (/ 1 c_n)))) |
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n))))) |
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2))))) |
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* -1 (/ (+ (* 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)))))) c_n)) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))))) |
(* -1 (* c_n (+ (* 1/2 s) (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2))))) |
(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2)))))))) c_n)) (+ (* 1/2 s) (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2)))))) |
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n)))) |
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) |
(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))) c_n)) (* 1/8 s))) |
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) c_n)) (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 s))) |
(* -1 (* c_n (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2)))) |
(* -1 (* c_n (+ (* -1 (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n)) (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2))))) |
(* -1 (* c_n (+ (* -1 (+ 1/8 (* -1/192 (pow t 2)))) (* -1 (/ (* c_p (+ 1/8 (* -1/192 (pow t 2)))) c_n))))) |
(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (* -1 (/ (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) c_n))) c_n)))) |
(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))))) |
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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))))))) |
(+ (* 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_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) (+ (* 1/8 (* t (+ c_n 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 (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))))))))) |
(* s (+ (* -1/2 c_n) (* 1/2 c_p))) |
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) |
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 c_n))))) |
(+ (* 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)))))))) |
(+ (* -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)))) |
(* t (+ (* -1/2 c_p) (* 1/2 c_n))) |
(* t (+ (* -1/2 c_p) (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 c_n)))) |
(* 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))))))) |
(* 1/8 (+ c_n c_p)) |
(+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))) |
(* -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 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))) (/ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (pow t 4))))))) |
(* -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))))) |
(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))))))) |
(* (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 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)))))) |
(/ (* (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))) |
(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))))))))))) |
(+ (* 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)))))))) |
(* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) |
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ 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 (* (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)))) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2)))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(+ (* -1/2 c_n) (* 1/2 c_p)) |
(+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))) |
(* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (/ (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) s)))) |
(* s (+ (* -1/2 c_n) (/ 1 s))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* s (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(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)))))))) |
(+ (* 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))))))) |
(+ (* 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))))))))) |
(* -1 (* s (+ (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (* -1 (/ (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) s))))) |
(/ (* (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))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n)) |
(* -1 (* s (- (* 1/2 c_n) (/ 1 s)))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(* -1 (* s (+ (* -1 (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) (* -1 (/ (+ (* -1/2 c_n) (* 1/2 c_p)) s))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | s | @ | inf | ((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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (+ (* (* s c_n) -1/2) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (* (* (* c_n c_n) 1/8) (* s 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 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t) (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) (* s c_n) (* (* c_p c_p) s) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) |
| 65.0ms | s | @ | -inf | ((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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (+ (* (* s c_n) -1/2) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (* (* (* c_n c_n) 1/8) (* s 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 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t) (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) (* s c_n) (* (* c_p c_p) s) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) |
| 48.0ms | t | @ | -inf | ((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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (+ (* (* s c_n) -1/2) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (* (* (* c_n c_n) 1/8) (* s 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 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t) (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) (* s c_n) (* (* c_p c_p) s) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) |
| 45.0ms | t | @ | inf | ((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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (+ (* (* s c_n) -1/2) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (* (* (* c_n c_n) 1/8) (* s 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 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t) (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) (* s c_n) (* (* c_p c_p) s) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) |
| 33.0ms | c_n | @ | inf | ((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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (+ (* (* s c_n) -1/2) 1) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (* (* (* c_n c_n) 1/8) (* s 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 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t) (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) (* s c_n) (* (* c_p c_p) s) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1145 | 11229 |
| 1 | 3761 | 10376 |
| 0 | 8109 | 9326 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))) |
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1 |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) |
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(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))) (log 1/2)))) |
(+ 1 (* -1/2 (* c_n s))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (+ (* c_n (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(+ 1 (+ (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)))) (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))))) |
(* 1/8 (* (pow c_n 2) (pow s 2))) |
(+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) |
(+ (* 1/2 c_p) (+ (* c_n (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) |
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(* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) |
(+ (* 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 s) |
(+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) |
(+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) |
(+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* c_n (- (* 1/8 c_n) 1/8)))) |
(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))))))))) |
(* 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)))))))) |
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))) |
(* 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))) |
(* c_n (+ (* -1/2 s) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2)))))))) |
(* 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))))) |
(* -1/2 (* c_n s)) |
(* c_n (+ (* -1/2 s) (/ 1 c_n))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))) |
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (+ (/ (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))))) (pow c_n 2)) (/ (* s (- (* s (- (* -1/4 c_p) 1/8)) 1/2)) c_n))))) |
(* 1/8 (* (pow c_n 2) s)) |
(* (pow c_n 2) (- (+ (* 1/8 s) (/ (* s (- (* -1/4 c_p) 1/8)) c_n)) (* 1/2 (/ 1 c_n)))) |
(* (pow c_n 2) (- (+ (* 1/8 s) (+ (* 1/2 (/ c_p (pow c_n 2))) (+ (/ (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2)))) (pow c_n 2)) (/ (* s (- (* -1/4 c_p) 1/8)) c_n)))) (* 1/2 (/ 1 c_n)))) |
(* c_n (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) |
(* 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))) |
(* c_n (+ 1/8 (+ (* -1/192 (pow t 2)) (/ (* c_p (+ 1/8 (* -1/192 (pow t 2)))) c_n)))) |
(* 1/8 (pow c_n 2)) |
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n)))) |
(* (pow c_n 2) (- (+ 1/8 (+ (* -1/8 (/ c_p (pow c_n 2))) (* 1/8 (/ (pow c_p 2) (pow c_n 2))))) (* 1/8 (/ 1 c_n)))) |
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n))))) |
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2))))) |
(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* -1 (/ (+ (* 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)))))) c_n)) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))))) |
(* -1 (* c_n (+ (* 1/2 s) (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2))))) |
(* -1 (* c_n (+ (* -1 (/ (+ (* 1/2 (* c_p s)) (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2)))))))) c_n)) (+ (* 1/2 s) (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2)))))) |
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n)))) |
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 (pow s 2)))) |
(* (pow c_n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) c_n)) (* s (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))))) c_n)) (* 1/8 (pow s 2)))) |
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* s (+ 1/8 (* 1/4 c_p)))) c_n)) (* 1/8 s))) |
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) c_n)) (* s (+ 1/8 (* 1/4 c_p))))) c_n)) (* 1/8 s))) |
(* -1 (* c_n (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2)))) |
(* -1 (* c_n (+ (* -1 (/ (* t (+ (* -1/2 c_p) (* c_p (* t (+ 1/8 (* -1/192 (pow t 2))))))) c_n)) (* t (- (* -1 (* t (+ 1/8 (* -1/192 (pow t 2))))) 1/2))))) |
(* -1 (* c_n (+ (* -1 (+ 1/8 (* -1/192 (pow t 2)))) (* -1 (/ (* c_p (+ 1/8 (* -1/192 (pow t 2)))) c_n))))) |
(* (pow c_n 2) (+ 1/8 (* -1 (/ (+ 1/8 (* -1 (/ (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) c_n))) c_n)))) |
(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))))) |
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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))))))) |
(+ (* 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_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) (+ (* 1/8 (* t (+ c_n 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 (+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))))))))) |
(* s (+ (* -1/2 c_n) (* 1/2 c_p))) |
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (* 1/2 c_n)))) |
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 c_n))))) |
(+ (* 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)))))))) |
(+ (* -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)))) |
(* t (+ (* -1/2 c_p) (* 1/2 c_n))) |
(* t (+ (* -1/2 c_p) (+ (* 1/8 (* t (+ c_n c_p))) (* 1/2 c_n)))) |
(* 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))))))) |
(* 1/8 (+ c_n c_p)) |
(+ (* -1/192 (* (pow t 2) (+ c_n c_p))) (* 1/8 (+ c_n c_p))) |
(* -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 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))) (/ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (pow t 4))))))) |
(* -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))))) |
(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))))))) |
(* (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 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)))))) |
(/ (* (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))) |
(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))))))))))) |
(+ (* 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)))))))) |
(* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) |
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ 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 (* (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)))) |
(+ 1 (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (* 1/8 (pow c_p 2))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (+ (* 1/8 (pow c_n 2)) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/2 (* c_n (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))) (+ (* -1/16 (pow c_p 2)) (+ (* -1/48 (pow c_n 3)) (+ (* 1/48 (pow c_p 3)) (+ (* 1/16 (pow c_n 2)) (* 1/2 (* c_p (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))))))))))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2)))))))))) |
(+ 1 (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))))) |
(+ (* -1/2 c_n) (* 1/2 c_p)) |
(+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))) |
(* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (/ (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) s)))) |
(* s (+ (* -1/2 c_n) (/ 1 s))) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(* s (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(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)))))))) |
(+ (* 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))))))) |
(+ (* 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))))))))) |
(* -1 (* s (+ (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (* -1 (/ (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) s))))) |
(/ (* (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))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n)) |
(* -1 (* s (- (* 1/2 c_n) (/ 1 s)))) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(* -1 (* s (+ (* -1 (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) (* -1 (/ (+ (* -1/2 c_n) (* 1/2 c_p)) s))))) |
| Outputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(fma.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) |
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (*.f64 (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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))))) c_p (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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 1/2))) (* t (+ (* 1/2 c_n) (* t (+ (* -1/192 (* c_n (pow t 2))) (* 1/8 c_n)))))) |
(fma.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 #s(literal 1/2 binary64) c_n)) t (*.f64 (-.f64 (log1p.f64 (neg.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)) |
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(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)) |
(+ 1 (+ (* c_p (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
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(+ 1 (+ (* c_p (+ (* 1/8 (* c_p (pow s 2))) (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))) |
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(+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))))) |
(fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s (*.f64 #s(literal -1/2 binary64) c_n)) |
(+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) |
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(+ (* -1/2 c_n) (+ (* c_p (+ 1/2 (+ (* 1/8 (* c_p s)) (* s (- (* -1/4 c_n) 1/8))))) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) |
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(* t (+ (* 1/2 c_n) (* c_n (* t (+ 1/8 (* -1/192 (pow t 2))))))) |
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(* c_n (+ 1/8 (* -1/192 (pow t 2)))) |
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(* (pow c_p 2) s) |
(*.f64 (*.f64 c_p c_p) 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))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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)))))) |
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
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(* c_p (- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s)))))) |
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(* 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)))))) |
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(* c_p (+ (* 1/2 s) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2)))) |
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(* 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 c_n s) c_p) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) s (*.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) |
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(* 1/8 (* (pow c_p 2) (pow s 2))) |
(*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s)) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p))) |
(*.f64 (fma.f64 (*.f64 s s) #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s) c_p)) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_p 2)) (+ (/ (* s (+ 1/2 (* s (- (* -1/4 c_n) 1/8)))) c_p) (/ (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (pow c_p 2)))))) |
(*.f64 (fma.f64 (*.f64 s s) #s(literal 1/8 binary64) (fma.f64 s (+.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s (*.f64 #s(literal -1/2 binary64) c_n)) (*.f64 c_p c_p)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) c_p)) (/.f64 #s(literal 1 binary64) (*.f64 c_p c_p)))) (*.f64 c_p c_p)) |
(* 1/8 (* (pow c_p 2) s)) |
(*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) s) |
(* (pow c_p 2) (+ (* 1/8 s) (+ (* 1/2 (/ 1 c_p)) (/ (* s (- (* -1/4 c_n) 1/8)) c_p)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) s (fma.f64 s (/.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p) (/.f64 #s(literal 1/2 binary64) c_p))) (*.f64 c_p c_p)) |
(* (pow c_p 2) (+ (* -1/2 (/ c_n (pow c_p 2))) (+ (* 1/8 s) (+ (* 1/2 (/ 1 c_p)) (+ (/ (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow c_p 2)) (/ (* s (- (* -1/4 c_n) 1/8)) c_p)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c_p) (/.f64 c_n c_p) (fma.f64 #s(literal 1/8 binary64) s (fma.f64 s (+.f64 (/.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) (*.f64 c_p c_p)) (/.f64 (fma.f64 #s(literal -1/4 binary64) c_n #s(literal -1/8 binary64)) c_p)) (/.f64 #s(literal 1/2 binary64) c_p)))) (*.f64 c_p 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))) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))) (log 1/2)))) |
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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))) |
(*.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 (neg.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))) |
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(* 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))))) |
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(* -1/2 (* c_n s)) |
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(* c_n (+ (* -1/2 s) (/ 1 c_n))) |
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(fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) |
(+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))))) |
(fma.f64 #s(literal -1/2 binary64) c_n (fma.f64 (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) s (*.f64 #s(literal 1/2 binary64) c_p))) |
(* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (/ (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) s)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 t (/.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) s)))) s) |
(* s (+ (* -1/2 c_n) (/ 1 s))) |
(fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(* (pow s 2) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(*.f64 (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) (*.f64 s s)) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(*.f64 (fma.f64 (/.f64 c_n s) #s(literal -1/2 binary64) (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64) (fma.f64 (/.f64 c_p s) #s(literal 1/2 binary64) (*.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64)))))) (*.f64 s s)) |
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (+ (* 1/2 (/ c_p s)) (/ 1 (pow s 2)))))))) |
(*.f64 (fma.f64 (/.f64 c_n s) #s(literal -1/2 binary64) (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (fma.f64 (/.f64 c_p s) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 s s))))))) (*.f64 s s)) |
(* s (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) |
(*.f64 (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) s) |
(* s (+ (* -1/2 (/ c_n s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (+ (* 1/8 (+ (pow c_n 2) (pow c_p 2))) (* 1/2 (/ c_p s))))))) |
(*.f64 (fma.f64 (/.f64 c_n s) #s(literal -1/2 binary64) (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64) (fma.f64 (/.f64 c_p s) #s(literal 1/2 binary64) (*.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64)))))) s) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))) (log1p.f64 (neg.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 1/2))) (+ (* 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 (neg.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 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
(* -1 (* s (+ (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (* -1 (/ (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (* (+ 1/8 (* -1/192 (pow t 2))) (+ c_n c_p)))))) s))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) c_n (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 t (/.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) s))))) (neg.f64 s)) |
(/ (* (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 (-.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 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) (/.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 #s(literal 1/2 binary64) c_n))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 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 #s(literal 1/2 binary64) c_n)) |
(* -1 (* s (- (* 1/2 c_n) (/ 1 s)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) c_n) (/.f64 #s(literal 1 binary64) s)) (neg.f64 s)) |
(* (pow s 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (/ 1 s)) s)) (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64)))) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n))) (/.f64 #s(literal 1 binary64) s)) s)) (*.f64 s s)) |
(* -1 (* s (+ (* -1 (+ (* -1/4 (* c_n c_p)) (+ (* -1/8 (+ c_n c_p)) (* 1/8 (+ (pow c_n 2) (pow c_p 2)))))) (* -1 (/ (+ (* -1/2 c_n) (* 1/2 c_p)) s))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n))) s) (fma.f64 (*.f64 c_n c_p) #s(literal -1/4 binary64) (fma.f64 (fma.f64 c_n c_n (*.f64 c_p c_p)) #s(literal 1/8 binary64) (*.f64 (+.f64 c_n c_p) #s(literal -1/8 binary64))))) (neg.f64 s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1359 |
| 0 | 172 | 1335 |
| 1 | 873 | 1312 |
| 2 | 7564 | 1312 |
| 0 | 8492 | 1192 |
| 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)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))) |
(*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t) |
(*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
(*.f64 s c_n) |
(*.f64 (*.f64 c_p c_p) s) |
#s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 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) (* 1/2 c_n))) 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 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) 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) (* 1/2 c_n))) 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 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)))) |
#s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) 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 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (neg.f64 t) (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (-.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (neg.f64 t) (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (-.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (neg.f64 t) (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) t) (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (-.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (neg.f64 t) (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (-.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t)) |
(fma.f64 t (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) |
(fma.f64 s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (neg.f64 t) (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (neg.f64 t) (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))))))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s) (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t)) |
(+.f64 (*.f64 (fma.f64 (*.f64 t (+.f64 c_n c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))) t) (*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 c_n s) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) c_n) s #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 c_n s) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c_n) s #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c_n s) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) c_n) s #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c_n s) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c_n s) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c_n) s #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) s)) (fma.f64 (pow.f64 (*.f64 c_n s) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) s) c_n #s(literal 1 binary64)) |
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(/.f64 (*.f64 (+.f64 (pow.f64 c_p #s(literal 3 binary64)) (pow.f64 c_n #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 c_n (-.f64 c_n c_p) (*.f64 c_p c_p)) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal -1/8 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 c_p #s(literal 3 binary64)) (pow.f64 c_n #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 t t) #s(literal 3 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64))) (*.f64 (fma.f64 c_n (-.f64 c_n c_p) (*.f64 c_p c_p)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 t t) #s(literal -1/1536 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64))) (fma.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) |
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) t) #s(literal 3 binary64)) (*.f64 (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) (+.f64 c_n c_p)) #s(literal 1/8 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) t) #s(literal 3 binary64)) (*.f64 (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64)) (-.f64 (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t))) (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64)) (-.f64 (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t))) (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) t) #s(literal 3 binary64)) (*.f64 (pow.f64 (+.f64 c_n c_p) #s(literal 3 binary64)) #s(literal 1/512 binary64))))) |
(fma.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) t) #s(literal -1/192 binary64) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 (+.f64 c_n c_p) (*.f64 #s(literal -1/192 binary64) t)) t (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (+.f64 c_n c_p) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n)) |
(fma.f64 (*.f64 t t) (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 (+.f64 c_n c_p) (*.f64 (*.f64 t t) #s(literal -1/192 binary64)) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 c_n c_p) (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t))) |
(fma.f64 #s(literal 1/8 binary64) c_p (fma.f64 #s(literal 1/8 binary64) c_n (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)))) |
(fma.f64 (*.f64 (+.f64 c_n c_p) #s(literal -1/192 binary64)) (*.f64 t t) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (+.f64 c_n c_p) t) t) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 c_n (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (*.f64 c_p (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 t (*.f64 (*.f64 #s(literal -1/192 binary64) t) (+.f64 c_n c_p)) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 t (*.f64 (+.f64 c_n c_p) (*.f64 #s(literal -1/192 binary64) t)) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(fma.f64 c_p (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (*.f64 c_n (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 c_p #s(literal 1/8 binary64) (fma.f64 #s(literal 1/8 binary64) c_n (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p)) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t) (*.f64 #s(literal -1/8 binary64) (+.f64 c_n c_p))))) |
(+.f64 (fma.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t) (*.f64 #s(literal 1/8 binary64) c_p)) (*.f64 #s(literal 1/8 binary64) c_n)) |
(+.f64 (*.f64 c_n (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) (*.f64 c_p (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 c_p (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) (*.f64 c_n (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n) (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p)) |
(+.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_p) (*.f64 (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) c_n)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) c_p) (fma.f64 #s(literal 1/8 binary64) c_n (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)))) |
(+.f64 (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t))) |
(+.f64 (*.f64 (*.f64 (+.f64 c_n c_p) t) (*.f64 #s(literal -1/192 binary64) t)) (*.f64 (+.f64 c_n c_p) #s(literal 1/8 binary64))) |
(*.f64 c_n s) |
(*.f64 s c_n) |
(*.f64 (*.f64 s c_p) c_p) |
(*.f64 (*.f64 c_p c_p) s) |
(*.f64 s (*.f64 c_p c_p)) |
(*.f64 c_p (*.f64 s c_p)) |
#s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64))) |
Compiled 58 756 to 3 007 computations (94.9% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 418 | 7 | 425 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 424 | 13 | 437 |
| Status | Accuracy | Program |
|---|---|---|
| 93.8% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 t)))) 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))) | |
| 95.6% | (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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (*.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))))) | |
| 98.8% | (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)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s))))) | |
| ✓ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) | |
| ✓ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
| 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)))) | |
| 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s (*.f64 #s(literal -1/2 binary64) c_n))) s #s(literal 1 binary64)))) | |
| 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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 s c_p) c_p) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) | |
| ✓ | 90.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
| 3.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) | |
| 5.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) | |
| 5.1% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s))))) |
Compiled 4 624 to 1 111 computations (76% 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
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(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) 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 (/.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) (fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (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))))))) |
(exp.f64 (-.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n (*.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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) t))))) |
13 calls:
| 49.0ms | c_n |
| 38.0ms | (exp.f64 (neg.f64 t)) |
| 12.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 9.0ms | (neg.f64 t) |
| 9.0ms | c_p |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | c_p |
| 99.8% | 1 | c_n |
| 99.8% | 1 | t |
| 99.8% | 1 | s |
| 99.8% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 99.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 99.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 99.8% | 1 | (exp.f64 (neg.f64 s)) |
| 99.8% | 1 | (neg.f64 s) |
| 99.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 99.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 99.8% | 1 | (exp.f64 (neg.f64 t)) |
| 99.8% | 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 s c_p) c_p) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s (*.f64 #s(literal -1/2 binary64) c_n))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) 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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (*.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))))) |
(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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.f64 #s(literal 1/2 binary64) c_n))) 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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s))))) |
13 calls:
| 39.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 22.0ms | c_n |
| 5.0ms | (neg.f64 s) |
| 5.0ms | (neg.f64 t) |
| 5.0ms | c_p |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | c_p |
| 98.8% | 1 | c_n |
| 98.8% | 1 | t |
| 98.8% | 1 | s |
| 98.8% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 98.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 98.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 98.8% | 1 | (exp.f64 (neg.f64 s)) |
| 98.8% | 1 | (neg.f64 s) |
| 98.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 98.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 98.8% | 1 | (exp.f64 (neg.f64 t)) |
| 98.8% | 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 s c_p) c_p) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s (*.f64 #s(literal -1/2 binary64) c_n))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n (fma.f64 #s(literal 1/8 binary64) (fma.f64 c_p c_p (*.f64 c_n c_n)) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) |
13 calls:
| 54.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 18.0ms | c_n |
| 7.0ms | c_p |
| 7.0ms | t |
| 7.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 90.8% | 1 | c_p |
| 90.8% | 1 | c_n |
| 90.8% | 1 | t |
| 93.5% | 2 | s |
| 90.8% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 92.9% | 2 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 92.9% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 92.9% | 2 | (exp.f64 (neg.f64 s)) |
| 93.5% | 2 | (neg.f64 s) |
| 90.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 90.8% | 1 | (exp.f64 (neg.f64 t)) |
| 90.8% | 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 s c_p) c_p) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s (*.f64 #s(literal -1/2 binary64) c_n))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s #s(literal 1 binary64)))) |
2 calls:
| 29.0ms | (neg.f64 s) |
| 8.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | s |
| 93.4% | 2 | (neg.f64 s) |
Compiled 3 to 9 computations (-200% 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 c_p c_p) s) #s(literal 1/8 binary64))) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (*.f64 (*.f64 (*.f64 s c_p) c_p) #s(literal 1/8 binary64))) s #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 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) |
2 calls:
| 22.0ms | (neg.f64 s) |
| 6.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | (neg.f64 s) |
| 93.4% | 2 | s |
Compiled 3 to 9 computations (-200% 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) (*.f64 s s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64)) (*.f64 s s))))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
13 calls:
| 5.0ms | (neg.f64 s) |
| 5.0ms | s |
| 2.0ms | (neg.f64 t) |
| 2.0ms | t |
| 2.0ms | c_n |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 90.8% | 1 | c_p |
| 90.8% | 1 | c_n |
| 90.8% | 1 | t |
| 90.8% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 90.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 90.8% | 1 | (exp.f64 (neg.f64 t)) |
| 90.8% | 1 | (neg.f64 t) |
| 90.8% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 90.8% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 90.8% | 1 | (exp.f64 (neg.f64 s)) |
| 90.8% | 1 | s |
| 90.8% | 1 | (neg.f64 s) |
Compiled 81 to 94 computations (-16% saved)
Total -56.0b remaining (-943.6%)
Threshold costs -56b (-943.6%)
| 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))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) #s(approx (+ (* (* s c_n) -1/2) 1) (*.f64 (*.f64 c_n s) #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
13 calls:
| 7.0ms | (exp.f64 (neg.f64 s)) |
| 1.0ms | c_n |
| 1.0ms | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 1.0ms | c_p |
| 1.0ms | (neg.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 1 | t |
| 90.7% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 90.7% | 1 | s |
| 90.7% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 90.7% | 1 | (exp.f64 (neg.f64 s)) |
| 90.7% | 1 | (neg.f64 s) |
| 90.7% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 90.7% | 1 | (exp.f64 (neg.f64 t)) |
| 90.7% | 1 | c_p |
| 90.7% | 1 | c_n |
| 90.7% | 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))) |
| 90.7% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 90.7% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 328160.2930395513 | 7.202711680230569e+21 |
Compiled 45 to 29 computations (35.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.5s | -7.202711680230569e+21 | -328160.2930395513 |
| 1.3s | 1 283× | 5 | exit |
| 27.0ms | 159× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 2 456 to 1 319 computations (46.3% saved)
ival-pow: 380.0ms (33.2% of total)adjust: 335.0ms (29.2% of total)ival-div: 134.0ms (11.7% of total)ival-exp: 107.0ms (9.3% of total)ival-sub: 80.0ms (7% of total)ival-add: 49.0ms (4.3% of total)ival-mult: 43.0ms (3.8% of total)ival-neg: 14.0ms (1.2% of total)ival-assert: 1.0ms (0.1% of total)ival-true: 1.0ms (0.1% of total)exact: 1.0ms (0.1% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.2s | -1.106925198967113e+22 | -7.202711680230569e+21 |
| 1.0s | 1 081× | 5 | exit |
| 11.0ms | 64× | 0 | valid |
Compiled 854 to 449 computations (47.4% saved)
adjust: 330.0ms (35.7% of total)ival-pow: 250.0ms (27.1% of total)ival-mult: 84.0ms (9.1% of total)ival-div: 80.0ms (8.7% of total)ival-exp: 72.0ms (7.8% of total)ival-sub: 40.0ms (4.3% of total)ival-add: 39.0ms (4.2% of total)ival-neg: 27.0ms (2.9% of total)ival-true: 1.0ms (0.1% of total)exact: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 1118 |
| 1 | 333 | 1108 |
| 2 | 696 | 1106 |
| 3 | 1946 | 1106 |
| 4 | 6047 | 1106 |
| 5 | 7207 | 1106 |
| 1× | node 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)))))) #s(approx (+ (* (+ (* (+ (* (* -1/192 (+ c_p c_n)) (* t t)) (* 1/8 (+ c_p c_n))) t) (+ (* -1/2 c_p) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s))))) |
(if (<=.f64 (neg.f64 s) #s(literal 500000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s #s(literal 1 binary64))))) |
(if (<=.f64 s #s(literal -7300000000000000000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (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) (* 1/2 c_n))) 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 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (fma.f64 #s(literal -1/2 binary64) c_p (fma.f64 (*.f64 (+.f64 c_n c_p) (fma.f64 (*.f64 t t) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) t (*.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) (* 1/2 c_n))) t) (+ (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) c_n) (* (- (log 2) (log (+ 1 (exp (neg s))))) c_p))) #s(approx (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (+ (* -1/2 c_p) (+ (* (* (+ c_n c_p) (+ (* (* t t) -1/192) 1/8)) t) (* 1/2 c_n))) t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s))))) |
(if (<=.f64 (neg.f64 s) #s(literal 500000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c_p) c_n #s(approx (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s #s(literal 1 binary64)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 #s(approx (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s))) s #s(literal 1 binary64))))) |
(if (<=.f64 s #s(literal -7300000000000000000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (+ (* (+ (* (+ (* (* -1/4 c_p) c_n) (+ (* 1/8 (+ (* c_p c_p) (* c_n c_n))) (* -1/8 (+ c_p c_n)))) s) (+ (* -1/2 c_n) (* 1/2 c_p))) s) 1) (*.f64 (*.f64 (*.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64)) s) s)))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (* (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (* (pow 1/2 c_p) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n)) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow 1/2 c_n)) (fma.f64 (*.f64 s c_n) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1289 | 11937 |
| 1 | 4073 | 11082 |
| 0 | 8051 | 9950 |
| 0 | 979 | 9880 |
| 1 | 3056 | 8937 |
| 0 | 8685 | 7995 |
| 0 | 413 | 4753 |
| 1 | 1288 | 4175 |
| 2 | 4704 | 3642 |
| 0 | 8684 | 3337 |
| 0 | 138 | 1359 |
| 0 | 172 | 1335 |
| 1 | 873 | 1312 |
| 2 | 7564 | 1312 |
| 0 | 8492 | 1192 |
| 0 | 1145 | 11229 |
| 1 | 3761 | 10376 |
| 0 | 8109 | 9326 |
| 0 | 22 | 103 |
| 0 | 39 | 103 |
| 1 | 151 | 103 |
| 2 | 1022 | 98 |
| 0 | 8636 | 86 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 539 to 491 computations (68.1% saved)
Compiled 2 372 to 446 computations (81.2% saved)
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