
Time bar (total: 51.8s)
| 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)
| 29.9s | 7 572× | 5 | exit |
| 5.5s | 24 094× | 0 | exit |
| 1.6s | 8 057× | 0 | valid |
| 259.0ms | 18× | 4 | valid |
| 115.0ms | 146× | 1 | valid |
| 87.0ms | 18× | 3 | valid |
| 21.0ms | 33× | 1 | exit |
| 8.0ms | 17× | 2 | valid |
| 3.0ms | 1× | 2 | exit |
ival-pow: 26.4s (76.3% of total)adjust: 2.4s (7.1% of total)ival-div: 1.7s (4.8% of total)ival-exp: 904.0ms (2.6% of total)ival-sub: 809.0ms (2.3% of total)ival-mult: 712.0ms (2.1% of total)ival-add: 700.0ms (2% of total)ival-neg: 539.0ms (1.6% of total)ival-<: 294.0ms (0.8% of total)ival-and: 67.0ms (0.2% of total)exact: 65.0ms (0.2% of total)ival-assert: 16.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 18 | 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))) |
| 8 | 5 | (8.749403025576517e+51 8.406855187723224e-18 493.2335551306337 -1.2453929076921642e+133) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
| 5 | 1 | (113.7152396491537 9.178241915880236e-7 2.9418763714617195e-302 1.3388344499110041e-266) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
| 2 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| 1 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| 1 | 6 | (1.926425651394134e-36 9.100886864812424e+96 -17534628.859466586 3.1525345746071495e-253) | 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 | - | (neg.f64 s) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
| 0 | 0 | - | 0 | - | (neg.f64 t) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 0 | 0 | - | 0 | - | c_p |
| 0 | 2 | (8.749403025576517e+51 8.406855187723224e-18 493.2335551306337 -1.2453929076921642e+133) | 0 | - | (exp.f64 (neg.f64 t)) |
| 0 | 1 | (1.290449283289702e-264 1.6105439509239472e-56 2.597415907942309e-147 638.7207974328128) | 0 | - | (exp.f64 (neg.f64 s)) |
| 0 | 0 | - | 0 | - | c_n |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
| 0 | 0 | - | 0 | - | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | u/u | 18 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 18 | |
| ↳ | (*.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 | 32 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 26 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | underflow | 6 | |
| ↳ | (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 | 14 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 12 | |
| ↳ | (exp.f64 (neg.f64 t)) | underflow | 2 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 16 | |
| ↳ | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | underflow | 8 | |
| ↳ | (*.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 | 18 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | underflow | 1 | |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 10 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | uflow-rescue | 8 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 10 | |
| ↳ | (exp.f64 (neg.f64 t)) | underflow | 1 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 8 | |
pow.f64 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | sensitivity | 6 | 1 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | sensitivity | 5 | 0 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | uflow-rescue | 5 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 18 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 13 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 6 | |
exp.f64 | (exp.f64 (neg.f64 t)) | sensitivity | 2 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | cancellation | 2 | 1 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | sensitivity | 1 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | cancellation | 1 | 0 |
exp.f64 | (exp.f64 (neg.f64 s)) | sensitivity | 1 | 0 |
pow.f64 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | uflow-rescue | 1 | 0 |
| ↳ | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | underflow | 8 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | underflow | 1 | |
| ↳ | (exp.f64 (neg.f64 t)) | underflow | 1 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 35 | 0 |
| - | 3 | 218 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 35 | 0 | 0 |
| - | 3 | 2 | 216 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 28 |
| 2 | 8 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 104.0ms | 486× | 0 | valid |
| 47.0ms | 2× | 4 | valid |
| 10.0ms | 16× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 593 to 92 computations (84.5% saved)
ival-pow: 69.0ms (57.1% of total)ival-div: 10.0ms (8.3% of total)ival-add: 10.0ms (8.3% of total)ival-exp: 9.0ms (7.5% of total)ival-mult: 9.0ms (7.5% of total)ival-sub: 5.0ms (4.1% of total)ival-neg: 5.0ms (4.1% of total)adjust: 2.0ms (1.7% of total)ival-true: 1.0ms (0.8% 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 | 1430 | 606 |
| 4 | 2139 | 606 |
| 5 | 2759 | 606 |
| 6 | 3172 | 606 |
| 7 | 3532 | 606 |
| 8 | 4111 | 606 |
| 9 | 4200 | 606 |
| 10 | 4216 | 606 |
| 11 | 4216 | 606 |
| 0 | 22 | 43 |
| 0 | 39 | 43 |
| 1 | 65 | 43 |
| 2 | 103 | 43 |
| 3 | 141 | 43 |
| 4 | 187 | 43 |
| 5 | 236 | 43 |
| 6 | 291 | 43 |
| 7 | 339 | 43 |
| 8 | 355 | 43 |
| 9 | 365 | 43 |
| 10 | 369 | 43 |
| 0 | 369 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) |
Compiled 43 to 22 computations (48.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.4% | (/.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 | 0.47977297796358964 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 1.9374559509295415 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 4.382841383514799 | (/.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))) |
| 42.0ms | 243× | 0 | valid |
| 15.0ms | 1× | 4 | valid |
| 5.0ms | 8× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 366 to 46 computations (87.4% saved)
ival-pow: 25.0ms (49.9% of total)ival-div: 8.0ms (16% of total)ival-exp: 4.0ms (8% of total)ival-sub: 3.0ms (6% of total)ival-add: 3.0ms (6% of total)ival-mult: 3.0ms (6% of total)ival-neg: 2.0ms (4% of total)adjust: 1.0ms (2% 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 t))))) |
| 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)) |
1/2 |
(+ 1/2 (* -1/4 t)) |
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4))) |
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(/ (* (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) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(* (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 (* 1/4 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 (+ 1 (exp (neg s)))) |
(+ 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))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 118.0ms | s | @ | inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg 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 t)))))) |
| 83.0ms | 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 t)))))) |
| 79.0ms | 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 t)))))) |
| 60.0ms | 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 t)))))) |
| 58.0ms | 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 t)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 4753 |
| 1 | 1290 | 4175 |
| 2 | 4698 | 3642 |
| 0 | 8686 | 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))) |
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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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1/2 |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(* (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 (* 1/4 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 (+ 1 (exp (neg s)))) |
(+ 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))) |
| 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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(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (fma.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/48 binary64) c_p #s(literal -1/16 binary64)) (*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal -1/48 binary64) c_n #s(literal 1/16 binary64))))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p (fma.f64 c_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 (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_p (*.f64 #s(literal -1/2 binary64) c_n)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* 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 (* 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 (+ 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)) |
(* (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 103 |
| 0 | 39 | 103 |
| 1 | 151 | 103 |
| 2 | 1022 | 98 |
| 0 | 8612 | 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 t))))) |
| 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))))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) (+.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) (*.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #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 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #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 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))))) (exp.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64))))) (exp.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(/.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 t))))))))) |
(/.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 t))))))) #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 t)))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 t) #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #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 t) #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #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 t) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #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 t))) #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 t))))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #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 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #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 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(-.f64 #s(literal 0 binary64) (expm1.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 t)))))) |
(exp.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
Compiled 33 455 to 2 479 computations (92.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 579 | 4 | 583 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 580 | 4 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.2% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (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))) |
| ▶ | 93.5% | (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))))))) |
| ▶ | 89.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (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))) |
| ▶ | 92.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
Compiled 215 to 127 computations (40.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 6336 | (/.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))) | |
| cost-diff | 12352 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) | |
| cost-diff | 0 | (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 | 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 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| 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 | 6720 | (/.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 714 |
| 0 | 122 | 714 |
| 1 | 193 | 711 |
| 2 | 311 | 708 |
| 3 | 517 | 687 |
| 4 | 903 | 633 |
| 5 | 1476 | 632 |
| 6 | 2577 | 632 |
| 7 | 3849 | 632 |
| 8 | 5079 | 632 |
| 9 | 5899 | 632 |
| 10 | 6748 | 632 |
| 11 | 7331 | 632 |
| 12 | 7818 | 632 |
| 0 | 8006 | 601 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.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 (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)) |
(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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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 |
(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))) |
(/.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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
c_n |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (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)) |
#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))) |
(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 |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.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(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 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)) |
(pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) 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)))))) |
#s(literal 1 binary64) |
(/.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))))) |
(+.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) 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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(neg.f64 (expm1.f64 (neg.f64 (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 (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 |
(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 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) 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)) |
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))) |
(/.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 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) c_p)) #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)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(/.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 c_p)) (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))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
c_n |
(*.f64 #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 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #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)))) |
#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))) |
(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 |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (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)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7302825916736038 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 2.747940076927382 | #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))) | |
| accuracy | 3.152379513660728 | (/.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))) | |
| accuracy | 0.7302825916736038 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 1.2182416734207127 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 51.40576121636536 | (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) | |
| accuracy | 51.42143761190367 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) | |
| accuracy | 0.3140765105462522 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 | 0.7265459815985781 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.9375220084066014 | (/.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 | 0.24087658744196533 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.24429519088416776 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| accuracy | 0.2522795036346347 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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))) | |
| accuracy | 1.214857505254126 | (/.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)) |
| 346.0ms | 200× | 1 | valid |
| 34.0ms | 1× | 5 | exit |
| 28.0ms | 12× | 2 | valid |
| 16.0ms | 26× | 0 | valid |
| 14.0ms | 4× | 4 | exit |
| 9.0ms | 13× | 1 | exit |
Compiled 1 406 to 128 computations (90.9% saved)
ival-pow: 135.0ms (37.8% of total)ival-log1p: 51.0ms (14.3% of total)ival-exp: 44.0ms (12.3% of total)adjust: 38.0ms (10.6% of total)ival-div: 24.0ms (6.7% of total)ival-sub: 19.0ms (5.3% of total)ival-add: 19.0ms (5.3% of total)ival-mult: 18.0ms (5% of total)ival-neg: 8.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 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) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(*.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 (*.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 #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))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
#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) (exp.f64 (neg.f64 s)))) c_p) |
| Outputs |
|---|
(/ (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 1/2 c_p) |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
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(log (+ 1 (exp (* -1 t)))) |
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(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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2 |
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(- (log (+ 1 (exp (neg t)))) (log 2)) |
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(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
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(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(+ (* 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)))))))) |
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(* -1 (log 2)) |
(- (* 1/2 s) (log 2)) |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(- (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))))))) |
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(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(+ 1 (exp (neg s))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(log (+ 1 (exp (neg s)))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(- 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 (/ 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 (exp (* -1 s)))) c_p) |
(+ 1 (exp (* -1 s))) |
(- (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))))))) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(log (+ 1 (exp (* -1 s)))) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 210.0ms | s | @ | -inf | ((/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 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 (+ (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) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 116.0ms | s | @ | inf | ((/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 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 (+ (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) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 63.0ms | t | @ | inf | ((/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 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 (+ (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) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 62.0ms | t | @ | -inf | ((/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 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 (+ (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) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 28.0ms | c_n | @ | -inf | ((/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 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 (+ (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) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 757 | 7684 |
| 1 | 2283 | 7053 |
| 2 | 7577 | 7043 |
| 0 | 8067 | 6329 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)))))))) |
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(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
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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)))) |
(/ (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))) |
(+ (* 1/2 (* 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))) |
(- (log (+ 1 (exp (neg t)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))))) |
(* -1 (log 2)) |
(- (* 1/2 s) (log 2)) |
(- (* s (+ 1/2 (* -1/8 s))) (log 2)) |
(- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2)) |
(+ (log 2) (* -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_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))) |
(- (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 (/ 1 (+ 1 (exp (neg s))))) |
(+ 1 (exp (neg s))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(log (+ 1 (exp (neg s)))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(- 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 (/ 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 (exp (* -1 s)))) c_p) |
(+ 1 (exp (* -1 s))) |
(- (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))))))) |
(* -1 (log (+ 1 (exp (* -1 s))))) |
(log (+ 1 (exp (* -1 s)))) |
(* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
| Outputs |
|---|
(/ (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))) (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))) |
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(+ 1/2 (* -1/4 s)) |
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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) |
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(-.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)) |
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(- (+ (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)))) |
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(- (* s (+ 1/2 (* -1/8 s))) (log 2)) |
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(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/8 binary64) c_n) c_n (fma.f64 #s(literal -1/8 binary64) c_n (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (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)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(fma.f64 (fma.f64 (fma.f64 (*.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 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c_p) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 c_n c_n) (*.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)))))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 #s(literal 1/8 binary64) c_n) c_n (fma.f64 #s(literal -1/8 binary64) c_n (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p))))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (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)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(- (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 #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))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #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)))) |
(+ 1 (exp (neg s))) |
(+.f64 (exp.f64 (neg.f64 s)) #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))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 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)) |
(- 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 (+ 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 (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)) |
(- (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)) |
(* -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 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)) |
(- (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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 404 |
| 0 | 120 | 389 |
| 1 | 474 | 368 |
| 2 | 2953 | 353 |
| 0 | 8445 | 347 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(*.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 (*.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 #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))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
#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) (exp.f64 (neg.f64 s)))) c_p) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64))))) (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (exp.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n #s(literal 1/2 binary64)) (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (neg.f64 c_n)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) (pow.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))))) |
(pow.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n #s(literal 1/2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) #s(literal -1 binary64)) |
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(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 s))) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (-.f64 (neg.f64 s) s)) #s(literal -1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (expm1.f64 (neg.f64 s)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) #s(literal -1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 s))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (-.f64 (neg.f64 s) s)) #s(literal -1 binary64)) c_p) (pow.f64 (expm1.f64 (neg.f64 s)) c_p)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) #s(literal -1 binary64)) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) c_p)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) c_p) (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 s))) c_p)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) c_p) (pow.f64 (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) c_p)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) c_p) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) c_p)) |
(*.f64 (pow.f64 #s(literal -1 binary64) c_p) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 (expm1.f64 (-.f64 (neg.f64 s) s)) (neg.f64 c_p)) (pow.f64 (pow.f64 (expm1.f64 (neg.f64 s)) #s(literal -1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) (neg.f64 c_p)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) (neg.f64 c_p))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 c_p))) |
(*.f64 (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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (neg.f64 c_p))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) c_p) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) c_p) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) c_p)) |
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (*.f64 c_p #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 c_p))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
Compiled 56 733 to 3 863 computations (93.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 793 | 9 | 802 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 0 | 4 |
| Done | 0 | 0 | 0 |
| Total | 797 | 9 | 806 |
| Status | Accuracy | Program |
|---|---|---|
| 95.5% | (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) | |
| ▶ | 95.8% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.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))) |
| ▶ | 91.1% | #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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
| ▶ | 89.3% | #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
| 91.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (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))) | |
| ▶ | 90.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
| 89.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))) | |
| ▶ | 92.3% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| 92.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
Compiled 1 278 to 724 computations (43.3% 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 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) | |
| 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 #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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 (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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) | |
| 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) (pow.f64 #s(literal 1/2 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) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| cost-diff | 0 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.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))))) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.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)) | |
| cost-diff | 0 | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 762 |
| 0 | 115 | 762 |
| 1 | 182 | 760 |
| 2 | 282 | 750 |
| 3 | 470 | 750 |
| 4 | 701 | 750 |
| 5 | 1021 | 750 |
| 6 | 1583 | 750 |
| 7 | 1938 | 750 |
| 8 | 2188 | 750 |
| 9 | 2210 | 750 |
| 0 | 2210 | 744 |
| 1× | iter limit |
| 1× | saturated |
| 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)))))) (*.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))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) |
(*.f64 (-.f64 (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 (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))))) |
(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) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
c_n |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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)))) |
(/.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))) |
(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) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) |
(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 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)) |
(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 |
| 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)))))) (*.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))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (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(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (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 (/.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 (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 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (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 (/.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) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 (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 (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 |
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 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.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)))) |
(/.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))) |
(/.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))) |
(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) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 (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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) #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 (log1p.f64 (exp.f64 (neg.f64 t)))) 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)))) |
(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 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #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))) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)) |
(fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(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 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7302825916736038 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.9375220084066014 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) | |
| accuracy | 2.747940076927382 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) | |
| accuracy | 0.24087658744196533 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.2522795036346347 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) | |
| accuracy | 1.214857505254126 | (/.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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) | |
| accuracy | 1.776576852016938 | #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) | |
| accuracy | 0.24218199386619269 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) | |
| accuracy | 0.3140765105462522 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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)))) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.9375220084066014 | (/.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))) | |
| accuracy | 0.2522795036346347 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) | |
| accuracy | 0.3140765105462522 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 | 0.24604279507413285 | (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| accuracy | 0.26166762569058793 | (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 25.297832024442936 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) | |
| accuracy | 51.40576121636536 | (-.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))))) |
| 265.0ms | 183× | 1 | valid |
| 87.0ms | 34× | 2 | valid |
| 51.0ms | 1× | 5 | exit |
| 15.0ms | 4× | 4 | exit |
| 10.0ms | 21× | 0 | valid |
| 9.0ms | 13× | 1 | exit |
Compiled 1 378 to 148 computations (89.3% saved)
ival-pow: 117.0ms (30.4% of total)ival-log1p: 71.0ms (18.5% of total)adjust: 50.0ms (13% of total)ival-exp: 49.0ms (12.7% of total)ival-div: 28.0ms (7.3% of total)ival-sub: 23.0ms (6% of total)ival-mult: 21.0ms (5.5% of total)ival-add: 17.0ms (4.4% of total)ival-neg: 7.0ms (1.8% of total)exact: 1.0ms (0.3% 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)))))) (*.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))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) |
(*.f64 (-.f64 (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 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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)))) |
(/.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))) |
(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(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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 (log1p.f64 (exp.f64 (neg.f64 t)))) 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 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
| 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))))))) |
(/ (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 (* 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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(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 t)) |
(+ (log 1/2) (* t (- (* -1/8 t) 1/2))) |
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 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)) |
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 2) (* -1/2 t)) |
(+ (log 2) (* t (- (* 1/8 t) 1/2))) |
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(log (+ 1 (exp (neg t)))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(/ (* (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 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(log (+ 1 (exp (* -1 t)))) |
(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))))))))))) |
(* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* -1/8 (* c_n s))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))) |
(- (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))))))) |
(/ (* (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))) |
(+ (* 1/2 (* 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 (* 1/4 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))))) |
(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* -1/2 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(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)) |
(+ (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))) |
(+ 1/2 (* -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)))) |
(log (- 1 (/ 1 (+ 1 (exp (neg 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 (/ 1 (+ 1 (exp (neg t)))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg 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))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 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 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) 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)) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (log (+ 1 (exp (neg t))))) |
| 46.0ms | 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)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 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 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) 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)) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (log (+ 1 (exp (neg t))))) |
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| 44.0ms | 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)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 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 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) 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)) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (log (+ 1 (exp (neg t))))) |
| 34.0ms | c_n | @ | 0 | ((exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 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 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) 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)) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (log (+ 1 (exp (neg t))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 849 | 8968 |
| 1 | 2600 | 8402 |
| 0 | 8334 | 7398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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1 |
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(log 1/2) |
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(pow 1/2 c_p) |
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1/2 |
(+ 1/2 (* -1/4 t)) |
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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))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(log (+ 1 (exp (neg t)))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(/ (* (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 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(log (+ 1 (exp (* -1 t)))) |
(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))))))))))) |
(* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* -1/8 (* c_n s))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/192 (* c_n (pow s 2)))))))) |
(- (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))))))) |
(/ (* (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))) |
(+ (* 1/2 (* 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 (* 1/4 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))))) |
(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* -1/2 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(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)) |
(+ (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))) |
(+ 1/2 (* -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)))) |
(log (- 1 (/ 1 (+ 1 (exp (neg 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 (/ 1 (+ 1 (exp (neg t)))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg 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))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
| Outputs |
|---|
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(+ (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)))) c_p) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (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 #s(literal 1/2 binary64) c_p) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.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 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (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 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) 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 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(/ (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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(+ (* 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 |
#s(literal 1 binary64) |
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(+ 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)))))))) |
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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 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
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(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c_p c_p)) (/.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 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) c_p)))) c_p (*.f64 (*.f64 c_p (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) c_p)))) (*.f64 (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))) (/.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)))) t (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c_p c_p)) (/.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 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 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 #s(literal 1/2 binary64) c_p)))))) t (*.f64 (*.f64 #s(literal -1/2 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 #s(literal 1/2 binary64) c_p)))) t (/.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))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg 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)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c_n t) (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(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c_n 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 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 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)))) (neg.f64 t) (*.f64 (*.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)))) t (/.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))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c_n 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 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 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)))) c_n (*.f64 (*.f64 c_n (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 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 (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))) (/.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)))) t (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c_n 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 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 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)))))) t (*.f64 (*.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)))) t (/.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 1/2) |
(log.f64 #s(literal 1/2 binary64)) |
(+ (log 1/2) (* -1/2 t)) |
(fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* 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 1/2 binary64))) |
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 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 1/2 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 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.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 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) t (pow.f64 #s(literal 1/2 binary64) c_p)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 t)) |
(fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64)) |
(+ 1/2 (* t (- (* 1/48 (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.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))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(- 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)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) |
(*.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) |
(- (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))))) |
(/ (* (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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (pow (/ 1 (+ 1 (exp (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 (+ 1 (exp (* -1 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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(- 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)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) |
(exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) |
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(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
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(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
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(+ (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))) |
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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 (*.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 (+ 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)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.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)))) |
(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 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.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) |
(- (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))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.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))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 623 |
| 0 | 115 | 609 |
| 1 | 512 | 594 |
| 2 | 3493 | 577 |
| 0 | 10030 | 532 |
| 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)))))) (*.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))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) |
(*.f64 (-.f64 (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 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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)))) |
(/.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))) |
(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(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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 (log1p.f64 (exp.f64 (neg.f64 t)))) 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 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(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)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n)) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n) |
(*.f64 c_n (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64))) c_n) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 3 binary64))) c_n) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 c_n (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64)))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(/.f64 (*.f64 c_n (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)))) |
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n)) |
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n (*.f64 c_n (neg.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(fma.f64 c_n (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n)) |
(fma.f64 c_n (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 c_n (neg.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(+.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n)) |
(+.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (*.f64 c_n (neg.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
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(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 t) #s(literal -2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 t)) (expm1.f64 (-.f64 (neg.f64 t) t))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 t))) (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 0 binary64)) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 t) t)))) (log.f64 (neg.f64 (expm1.f64 (neg.f64 t))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 t) #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log.f64 (expm1.f64 (-.f64 (neg.f64 t) t))) (log.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 t))))) |
(-.f64 (log.f64 (expm1.f64 (-.f64 (neg.f64 t) t))) (log.f64 (expm1.f64 (neg.f64 t)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64))) (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64))) (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 t)) (exp.f64 t)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64))) (log.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 t))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)))) (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 t)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 t) #s(literal -2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 (neg.f64 t)) (expm1.f64 (-.f64 (neg.f64 t) t))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 t))) (+.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(-.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)) |
(+.f64 (log.f64 (expm1.f64 (-.f64 (neg.f64 t) t))) (log.f64 (pow.f64 (expm1.f64 (neg.f64 t)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 (neg.f64 t)) (expm1.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (exp.f64 t) #s(literal -3 binary64))) (log.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 t) #s(literal -2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 0 binary64)) |
(log.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
Compiled 54 328 to 3 030 computations (94.4% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 648 | 5 | 653 |
| Fresh | 0 | 4 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 651 | 11 | 662 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) |
| 94.8% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) #s(approx (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (log.f64 #s(literal 1/2 binary64)))) c_n))) | |
| 90.1% | #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))) (/.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 #s(approx (log (+ 1 (exp (neg t)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))))) | |
| ▶ | 91.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (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))) |
| ✓ | 90.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
| 89.3% | #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 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #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)))) | |
| ▶ | 87.5% | #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 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
| ▶ | 89.9% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
| 89.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))) | |
| ✓ | 92.3% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| ▶ | 92.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
Compiled 1 466 to 819 computations (44.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(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))) | |
| cost-diff | 0 | (pow.f64 #s(literal 1/2 binary64) c_n) | |
| cost-diff | 0 | (/.f64 (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)) | |
| cost-diff | 0 | #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) | |
| 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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) | |
| cost-diff | 128 | (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) | |
| cost-diff | 192 | (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 986 |
| 0 | 152 | 986 |
| 1 | 235 | 984 |
| 2 | 367 | 978 |
| 3 | 733 | 978 |
| 4 | 1326 | 978 |
| 5 | 2843 | 978 |
| 6 | 5331 | 973 |
| 7 | 6655 | 973 |
| 8 | 7939 | 973 |
| 0 | 8132 | 960 |
| 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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) |
(-.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.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(literal 1 binary64) |
c_n |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)) |
(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) |
c_p |
s |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
s |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) |
(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) |
#s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
s |
#s(literal 1/2 binary64) |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)) |
(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 |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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 (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)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
s |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
| 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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (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 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) 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 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (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 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (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 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p)) |
(-.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))))) |
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 (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)) |
#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(literal 1 binary64) |
c_n |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)) |
(fma.f64 (-.f64 c_n c_p) (*.f64 #s(literal -1/2 binary64) s) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)) |
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (-.f64 c_n c_p) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) c_p) |
c_p |
s |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
s |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 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 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 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 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) |
#s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
s |
#s(literal 1/2 binary64) |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ (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 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)) |
(fma.f64 (neg.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64)) |
(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 |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n))) |
(/.f64 (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 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#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) |
(pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (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))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
s |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2020782117015434 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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))) | |
| accuracy | 0.7265459815985781 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) | |
| accuracy | 0.7601099684242578 | #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))) | |
| accuracy | 1.9375220084066014 | (/.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)) | |
| accuracy | 0.06369339689378865 | #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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))) | |
| accuracy | 0.24429519088416776 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| accuracy | 0.2522795036346347 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) | |
| accuracy | 1.210951255254126 | (/.f64 (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)) | |
| accuracy | 0.7302825916736038 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 0.7790437308902627 | #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) | |
| accuracy | 1.9375220084066014 | (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) | |
| accuracy | 2.747940076927382 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) | |
| accuracy | 0.2522795036346347 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) | |
| accuracy | 0.7640639306990139 | #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) | |
| accuracy | 1.210951255254126 | (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) | |
| accuracy | 1.776576852016938 | #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) | |
| accuracy | 0.7302825916736038 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 1.4546950160820145 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))) | |
| accuracy | 52.89830403603385 | (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) | |
| accuracy | 52.90083507630269 | (-.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))))) |
| 427.0ms | 189× | 1 | valid |
| 128.0ms | 33× | 2 | valid |
| 45.0ms | 5× | 4 | exit |
| 16.0ms | 18× | 1 | exit |
| 7.0ms | 11× | 0 | valid |
Compiled 1 719 to 188 computations (89.1% saved)
ival-pow: 123.0ms (21.8% of total)adjust: 89.0ms (15.8% of total)ival-log1p: 69.0ms (12.2% of total)ival-exp: 62.0ms (11% of total)ival-mult: 56.0ms (9.9% of total)ival-div: 55.0ms (9.8% of total)ival-add: 54.0ms (9.6% of total)ival-sub: 24.0ms (4.3% of total)ival-log: 23.0ms (4.1% of total)ival-neg: 7.0ms (1.2% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) |
(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) |
#s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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 (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)) |
(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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
(-.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))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
| Outputs |
|---|
(* -1/2 c_n) |
(+ (* -1/2 c_n) (* 1/2 c_p)) |
(+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (* -1/2 (* c_n s)) (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 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)))))))) |
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(* s (+ (* -1/2 c_n) (* 1/2 c_p))) |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
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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)))) (* 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 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) 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 (* -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 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))) |
(+ (* 1/2 (* 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 (* 1/4 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))) |
(* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (+ (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) s) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(/ 1 (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(* -1 (* s (+ (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (* -1 (/ (+ (* 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 (/ 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))))))) |
(/ (* (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 (+ 1 (exp (neg t))))) c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(+ 1 (exp (* -1 s))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 157.0ms | s | @ | inf | ((+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 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 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow 1/2 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 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 140.0ms | t | @ | -inf | ((+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 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 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow 1/2 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 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 116.0ms | t | @ | inf | ((+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 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 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow 1/2 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 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 93.0ms | s | @ | -inf | ((+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 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 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow 1/2 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 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) |
| 44.0ms | c_n | @ | 0 | ((+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 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 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow 1/2 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 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 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 | 967 | 9604 |
| 1 | 2994 | 9019 |
| 0 | 8587 | 7936 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 c_n) |
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1 |
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(* c_p (+ 1/2 (* -1/2 (/ c_n c_p)))) |
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(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
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(* -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))))) |
(* s (+ (* -1/2 c_n) (* 1/2 c_p))) |
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(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (+ (* 1/8 c_p) (* (pow t 2) (+ (* -1/192 c_n) (* -1/192 c_p)))))))))) |
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(* t (+ 1/2 (* 1/8 t))) |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
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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 (/ (* c_n (* s (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* s (+ (/ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) 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 (* -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 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))) |
(+ (* 1/2 (* 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 (* 1/4 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))) |
(* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (+ (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) s) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) s))))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(/ 1 (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(* -1 (* s (+ (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (* -1 (/ (+ (* 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 (/ 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))))))) |
(/ (* (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 (+ 1 (exp (neg t))))) c_n)) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ 1 (+ 1 (exp (* -1 s)))) |
(+ 1 (exp (* -1 s))) |
| Outputs |
|---|
(* -1/2 c_n) |
(*.f64 #s(literal -1/2 binary64) c_n) |
(+ (* -1/2 c_n) (* 1/2 c_p)) |
(fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) |
(+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(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 #s(literal -1/2 binary64) s) c_n)) |
(+ (* -1/2 (* c_n s)) (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p (*.f64 (*.f64 #s(literal -1/2 binary64) s) 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 (/.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)))))) |
(+ (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)))) c_p) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (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 #s(literal 1/2 binary64) c_p) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.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 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (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 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c_p) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64))) (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) 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 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))) c_p (pow.f64 (exp.f64 c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(/ (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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(+ (* 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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(+ (* 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 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) (*.f64 (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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
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1 |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
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(+ 1 (* 1/2 (* c_n t))) |
(fma.f64 (*.f64 t c_n) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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(fma.f64 (fma.f64 (*.f64 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p))) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (*.f64 s (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p)))) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(+ (* 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 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (*.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 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p))) (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ 1/2 (* 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)) |
(* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (+ (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) s) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) s))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) c_n (fma.f64 c_n (/.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))))) s) (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) s) (*.f64 #s(literal 1/2 binary64) c_p)))) 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)))) |
(/ 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 (* s (+ (* -1 (+ (* -1/2 c_n) (* 1/2 c_p))) (* -1 (/ (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) s))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p)) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)) s)) (neg.f64 s)) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s)))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 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 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(- 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 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 799 |
| 0 | 152 | 787 |
| 1 | 676 | 770 |
| 2 | 4743 | 770 |
| 0 | 8083 | 734 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) 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 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64)))) |
(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) |
#s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
#s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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 (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)) |
(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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) |
(-.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))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 c_p c_p) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_p)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 c_n #s(literal 3 binary64)) (*.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) (-.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 c_n #s(literal -1/2 binary64))) (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_p)) (-.f64 (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 c_p c_p) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) (-.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 c_n #s(literal -1/2 binary64))) (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 c_n #s(literal 3 binary64)) (*.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 c_p c_p) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 c_n #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 c_p c_p) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_p)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 c_n #s(literal 3 binary64)) (*.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) (-.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 c_n #s(literal -1/2 binary64))) (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 c_p c_p) #s(literal 1/4 binary64))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_p))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 c_n #s(literal 3 binary64)) (*.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 c_p c_p) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c_n #s(literal -1/2 binary64)) c_p) #s(literal 1/2 binary64))))) |
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(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)) |
Compiled 58 806 to 3 526 computations (94% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 642 | 4 | 646 |
| Fresh | 3 | 1 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 649 | 8 | 657 |
| Status | Accuracy | Program |
|---|---|---|
| 94.8% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) #s(approx (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (log.f64 #s(literal 1/2 binary64)))) c_n))) | |
| 99.5% | (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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (fma.f64 (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_p (*.f64 #s(literal -1/2 binary64) c_n)) s))))) | |
| 98.4% | (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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s)))) | |
| ✓ | 90.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
| 86.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg t)))) (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))))) c_p #s(literal 1 binary64))))) | |
| ✓ | 92.3% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| ✓ | 92.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
| 92.4% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) #s(approx (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (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 #s(literal 1 binary64))))) |
Compiled 2 297 to 601 computations (73.8% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (*.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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (fma.f64 (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_p (*.f64 #s(literal -1/2 binary64) c_n)) s))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) (fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg t)))) (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))))) c_p #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) #s(approx (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (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 #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) (fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (/.f64 (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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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 #s(approx (log (+ 1 (exp (neg t)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) #s(approx (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (log.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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (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))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p)) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (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))))))) |
| 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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (fma.f64 (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_p (*.f64 #s(literal -1/2 binary64) c_n)) s))))) |
13 calls:
| 34.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 30.0ms | t |
| 16.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 6.0ms | (neg.f64 s) |
| 6.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | c_p |
| 99.5% | 1 | c_n |
| 99.5% | 1 | t |
| 99.5% | 1 | s |
| 99.5% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 99.5% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 99.5% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 99.5% | 1 | (exp.f64 (neg.f64 s)) |
| 99.5% | 1 | (neg.f64 s) |
| 99.5% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 99.5% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 99.5% | 1 | (exp.f64 (neg.f64 t)) |
| 99.5% | 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))) |
(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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s)))) |
| 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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s)))) |
13 calls:
| 27.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 2.0ms | (neg.f64 t) |
| 2.0ms | c_n |
| 2.0ms | t |
| 2.0ms | c_p |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | c_p |
| 98.4% | 1 | c_n |
| 98.4% | 1 | t |
| 98.4% | 1 | s |
| 98.4% | 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))) |
| 98.4% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 98.4% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 98.4% | 1 | (exp.f64 (neg.f64 s)) |
| 98.4% | 1 | (neg.f64 s) |
| 98.4% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 98.4% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 98.4% | 1 | (exp.f64 (neg.f64 t)) |
| 98.4% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| 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))) |
| 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:
| 37.0ms | c_p |
| 27.0ms | (exp.f64 (neg.f64 t)) |
| 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 | s |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 1 | c_p |
| 92.3% | 1 | c_n |
| 92.3% | 1 | t |
| 92.3% | 1 | s |
| 92.3% | 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))) |
| 92.3% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 92.3% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 92.3% | 1 | (exp.f64 (neg.f64 s)) |
| 92.3% | 1 | (neg.f64 s) |
| 92.3% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 92.3% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 92.3% | 1 | (exp.f64 (neg.f64 t)) |
| 92.3% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 251 |
| 1 | 85 | 251 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (fma.f64 (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_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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (fma.f64 (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_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 (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* 1/2 c_p)) s) (* (- (log (+ 1 (exp (neg t)))) (log 2)) c_p))) (*.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (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 | 967 | 9604 |
| 1 | 2994 | 9019 |
| 0 | 8587 | 7936 |
| 0 | 757 | 7684 |
| 1 | 2283 | 7053 |
| 2 | 7577 | 7043 |
| 0 | 8067 | 6329 |
| 0 | 22 | 103 |
| 0 | 39 | 103 |
| 1 | 151 | 103 |
| 2 | 1022 | 98 |
| 0 | 8612 | 86 |
| 0 | 414 | 4753 |
| 1 | 1290 | 4175 |
| 2 | 4698 | 3642 |
| 0 | 8686 | 3337 |
| 1× | fuel |
| 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 |
Compiled 315 to 138 computations (56.2% saved)
Compiled 638 to 248 computations (61.1% saved)
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