
Time bar (total: 52.0s)
| 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)
| 28.8s | 7 207× | 5 | exit |
| 5.4s | 24 260× | 0 | exit |
| 1.6s | 8 054× | 0 | valid |
| 148.0ms | 18× | 4 | valid |
| 72.0ms | 22× | 3 | valid |
| 57.0ms | 137× | 1 | valid |
| 18.0ms | 25× | 2 | valid |
| 13.0ms | 28× | 1 | exit |
| 1.0ms | 2× | 2 | exit |
ival-pow: 25.8s (76.4% of total)adjust: 2.1s (6.2% of total)ival-div: 1.4s (4.1% of total)ival-exp: 980.0ms (2.9% of total)ival-add: 950.0ms (2.8% of total)ival-mult: 901.0ms (2.7% of total)ival-sub: 673.0ms (2% of total)ival-neg: 519.0ms (1.5% of total)ival-<: 306.0ms (0.9% of total)ival-and: 69.0ms (0.2% of total)exact: 64.0ms (0.2% of total)ival-assert: 18.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 19 | 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))) |
| 5 | 1 | (252.5670859443702 2.765572647401375e-65 -3.8186639464964817e-137 1.9970623423704832e-79) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
| 4 | 1 | (252.5670859443702 2.765572647401375e-65 -3.8186639464964817e-137 1.9970623423704832e-79) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
| 1 | 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) |
| 1 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| 0 | 0 | - | 0 | - | (neg.f64 s) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
| 0 | 0 | - | 0 | - | (neg.f64 t) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| 0 | 0 | - | 0 | - | c_p |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 t)) |
| 0 | 1 | (5.266674740376257e-20 7.581723675735724e-48 4.602553095904418e-195 -232.83214077810075) | 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 | 5 | (4.518527250784327e-203 2.1466881145887855e+60 -901808.8798185015 7.833456185685538e+48) | 0 | - | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | u/u | 19 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 12 | |
| ↳ | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) | underflow | 26 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 20 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | underflow | 8 | |
| ↳ | (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 | 16 | |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 9 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 8 | |
| ↳ | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | underflow | 10 | |
| ↳ | (*.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 | 19 | |
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 | 5 | 1 |
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 | 12 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 10 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 8 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | uflow-rescue | 4 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 9 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 4 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | sensitivity | 1 | 0 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | sensitivity | 1 | 0 |
pow.f64 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) | sensitivity | 1 | 1 |
-.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 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 28 | 0 |
| - | 3 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 3 | 1 | 224 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 25 |
| 2 | 5 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 156.0ms | 492× | 0 | valid |
| 12.0ms | 16× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 593 to 92 computations (84.5% saved)
ival-div: 32.0ms (33.6% of total)ival-pow: 26.0ms (27.3% of total)ival-add: 10.0ms (10.5% of total)ival-exp: 8.0ms (8.4% of total)ival-mult: 6.0ms (6.3% of total)ival-sub: 5.0ms (5.2% of total)ival-neg: 5.0ms (5.2% of total)adjust: 2.0ms (2.1% of total)ival-true: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 606 |
| 1 | 250 | 606 |
| 2 | 673 | 606 |
| 3 | 1434 | 606 |
| 4 | 2151 | 606 |
| 5 | 2771 | 606 |
| 6 | 3184 | 606 |
| 7 | 3544 | 606 |
| 8 | 4123 | 606 |
| 9 | 4212 | 606 |
| 10 | 4228 | 606 |
| 11 | 4228 | 606 |
| 0 | 22 | 43 |
| 0 | 39 | 43 |
| 1 | 65 | 43 |
| 2 | 103 | 43 |
| 3 | 141 | 43 |
| 4 | 187 | 43 |
| 5 | 236 | 43 |
| 6 | 291 | 43 |
| 7 | 339 | 43 |
| 8 | 355 | 43 |
| 9 | 365 | 43 |
| 10 | 369 | 43 |
| 0 | 369 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) |
Compiled 43 to 22 computations (48.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.1% | (/.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))) |
Compiled 43 to 22 computations (48.8% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| accuracy | 0.9687279754647707 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 4.593766502274761 | (/.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))) |
| 67.0ms | 246× | 0 | valid |
| 6.0ms | 8× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 366 to 46 computations (87.4% saved)
ival-neg: 28.0ms (47% of total)ival-pow: 13.0ms (21.8% of total)ival-div: 5.0ms (8.4% of total)ival-exp: 4.0ms (6.7% of total)ival-sub: 3.0ms (5% of total)ival-add: 3.0ms (5% of total)ival-mult: 3.0ms (5% of total)adjust: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(-.f64 #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) (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))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(+ 1 (* 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 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(+ (* 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)))) |
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(+ (* 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)) (* (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)))) |
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(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(/ (* (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) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 160.0ms | s | @ | inf | ((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
| 85.0ms | c_p | @ | inf | ((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
| 82.0ms | t | @ | -inf | ((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
| 73.0ms | 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
| 47.0ms | s | @ | -inf | ((/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (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 | 343 | 3990 |
| 1 | 1049 | 3483 |
| 2 | 3959 | 3029 |
| 0 | 8028 | 2792 |
| 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))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(+ 1 (* 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 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(+ (* 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)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 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) |
| 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))) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 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 (*.f64 t t) #s(literal 1/48 binary64) #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))) |
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(- 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)))) |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
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(+ (* 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 (*.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)) |
(/ (* (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))) |
(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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 70 |
| 0 | 39 | 70 |
| 1 | 151 | 70 |
| 2 | 1022 | 66 |
| 0 | 8636 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| Outputs |
|---|
(*.f64 (*.f64 (exp.f64 (-.f64 (*.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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (*.f64 (exp.f64 (-.f64 (*.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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))) (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 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (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)))))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)))))) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)))))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)))))) (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n)))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (pow.f64 (-.f64 #s(literal 0 binary64) (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)) (neg.f64 c_p))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(*.f64 (*.f64 (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (exp.f64 (-.f64 (*.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 t)))) (*.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))) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_p #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (exp.f64 (*.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)))))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.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))) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p)))) |
(*.f64 (*.f64 (exp.f64 (*.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)))))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 (neg.f64 c_p)))) |
(*.f64 (*.f64 (exp.f64 (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 c_p)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 c_p)))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #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)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 c_p)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.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)))) c_p))))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (exp.f64 (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(*.f64 (*.f64 (exp.f64 (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) |
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(/.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 20 699 to 1 462 computations (92.9% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 338 | 6 | 344 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 339 | 6 | 345 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.7% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| ▶ | 86.8% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| ▶ | 96.4% | (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))))))) |
| ▶ | 90.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| ▶ | 93.7% | #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))) |
| 89.1% | #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 (/.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)))) |
Compiled 694 to 392 computations (43.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (-.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 | 2.625027510508249 | (/.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 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 2.9282731663858823 | #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) | |
| accuracy | 0.030979442724855026 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.03125 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| accuracy | 2.625027510508249 | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 4.007013018612498 | #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.030979442724855026 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.03125 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| accuracy | 0.34850193296118376 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 | 0.9687610042032975 | (/.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 | 0.01953125 | (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) | |
| accuracy | 0.14296401702934963 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.656266506304951 | (/.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 | 0.033535009768442016 | (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) | |
| accuracy | 1.2182016992360396 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 51.66337478740525 | (-.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 | 51.703485429800885 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
| 363.0ms | 199× | 1 | valid |
| 45.0ms | 7× | 4 | exit |
| 24.0ms | 10× | 2 | valid |
| 16.0ms | 32× | 0 | valid |
| 5.0ms | 8× | 1 | exit |
Compiled 1 784 to 131 computations (92.7% saved)
ival-pow: 79.0ms (21.7% of total)ival-log1p: 68.0ms (18.6% of total)ival-sub: 62.0ms (17% of total)ival-exp: 44.0ms (12.1% of total)adjust: 36.0ms (9.9% of total)ival-mult: 27.0ms (7.4% of total)ival-div: 27.0ms (7.4% of total)ival-add: 15.0ms (4.1% of total)ival-neg: 6.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(/.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) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(/.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))) (/.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 t)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (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 #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 s)))) c_p) |
| Outputs |
|---|
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)))))) |
(+ 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 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) 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 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))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))))))) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(- (log 2) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
(+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 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 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
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))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(- (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)) |
(- (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))))))) |
(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))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 s)) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(/ (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)) |
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(/ (pow 1/2 c_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))) |
(+ 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))) |
(log (+ 1 (exp (neg s)))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(+ 1 (exp (neg s))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (+ 1 (exp (* -1 s)))) |
(log (- 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) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ 1 (exp (* -1 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))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | s | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (pow (/ 1 (+ 1 (exp (neg t)))) 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 (+ 1 (exp (neg s)))) c_p)) |
| 64.0ms | t | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (pow (/ 1 (+ 1 (exp (neg t)))) 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 (+ 1 (exp (neg s)))) c_p)) |
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| 17.0ms | c_p | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (pow (/ 1 (+ 1 (exp (neg t)))) 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 (+ 1 (exp (neg s)))) c_p)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 6313 |
| 1 | 1821 | 5754 |
| 2 | 6251 | 5112 |
| 0 | 8293 | 4587 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 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 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
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))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(- (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)) |
(- (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))))))) |
(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))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 s)) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
(/ (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)) |
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(/ (pow 1/2 c_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))) |
(+ 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))) |
(log (+ 1 (exp (neg s)))) |
(log (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
(+ 1 (exp (neg s))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (+ 1 (exp (* -1 s)))) |
(log (- 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) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ 1 (exp (* -1 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))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64)) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p #s(literal 1 binary64)) |
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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))) |
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1/2 |
#s(literal 1/2 binary64) |
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(pow 1/2 c_p) |
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
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(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(fma.f64 #s(literal 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) |
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(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
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(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
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(- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 s s) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1/2 s)) |
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 2 binary64))) |
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(log 1/2) |
(log.f64 #s(literal 1/2 binary64)) |
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(+ (* 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))) |
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(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
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(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
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(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(+ (* 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)))) |
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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)))) (+ (/ (* (+ (* -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 #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)) (*.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_n) (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)) (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 (*.f64 (*.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.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 (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (*.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)) (/.f64 #s(literal 1/2 binary64) (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_n c_n) (fma.f64 #s(literal -1/48 binary64) c_n #s(literal 1/16 binary64)) (*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/48 binary64) c_p #s(literal -1/16 binary64)))))))) s))) s (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 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)) |
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 (/ 1 (+ 1 (exp (neg t))))) 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)) |
(+ (* -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))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) c_n) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) s) (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))) |
(+ (* 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))) |
(fma.f64 (*.f64 (/.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)) (fma.f64 (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) s (*.f64 #s(literal -1/2 binary64) c_n))) s (/.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 (+ (* -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))) |
(fma.f64 (fma.f64 (*.f64 (/.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)) (fma.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64)) (*.f64 (*.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 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64)) (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 (/.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))) |
(+ 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)) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(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 (exp (neg s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (- 1 (/ 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))))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(/ (pow (/ 1 (+ 1 (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) |
(/ (* (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))) |
(+ 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 (+ 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 397 |
| 0 | 124 | 381 |
| 1 | 470 | 360 |
| 2 | 2851 | 347 |
| 0 | 8935 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(-.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 s))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(/.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) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(/.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))) (/.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 t)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) c_p #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (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 #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 s)))) c_p) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))) (*.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.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 3 binary64)))) (*.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))) (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t))))))) (*.f64 (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))))) (+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t))))))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 s)))))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64)))))) |
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64)) (neg.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 0 binary64)) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(log.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (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)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (neg.f64 s)) (expm1.f64 (-.f64 (neg.f64 s) s))))) |
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(exp.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
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(*.f64 (pow.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(*.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 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(*.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 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) c_p) (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (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 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) c_p))) |
(*.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) c_p) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p)) |
(pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64))) |
(pow.f64 (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 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (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 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 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)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #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 -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))) (*.f64 #s(literal -1 binary64) 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))) |
(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 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #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))) (*.f64 #s(literal -1 binary64) c_p))) |
(exp.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
Compiled 45 544 to 3 199 computations (93% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 12 | 671 |
| Fresh | 1 | 0 | 1 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 665 | 12 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))))))) |
| 93.2% | #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| ▶ | 92.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.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))) |
| 91.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 94.0% | #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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) c_n))) | |
| ▶ | 92.1% | #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 #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))) |
| 93.6% | #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))) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) | |
| 91.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64)))) | |
| ▶ | 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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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)))) |
| 91.3% | #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)) (/.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)))) | |
| ▶ | 93.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| 93.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (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 1 674 to 924 computations (44.8% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14296401702934963 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 | 1.2109099693309635 | (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) | |
| accuracy | 1.656266506304951 | (/.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 | 2.2457575025269705 | #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 | 0.030979442724855026 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.34850193296118376 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 | 0.9687610042032975 | (/.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 | 1.9071932417176698 | #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) | |
| accuracy | 0.10346306008742116 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) | |
| accuracy | 0.14296401702934963 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 (/.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)))) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.652360256304951 | (/.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)) | |
| accuracy | 0.14296401702934963 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 | 0.3456505600874212 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) | |
| accuracy | 1.2182016992360396 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 1.834145250440118 | #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))))) | |
| accuracy | 51.703485429800885 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) | |
| accuracy | 53.690972781172206 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
| 303.0ms | 207× | 1 | valid |
| 58.0ms | 21× | 2 | valid |
| 40.0ms | 7× | 4 | exit |
| 7.0ms | 13× | 0 | valid |
| 6.0ms | 8× | 1 | exit |
Compiled 1 528 to 154 computations (89.9% saved)
ival-pow: 83.0ms (23.1% of total)ival-log1p: 64.0ms (17.8% of total)ival-exp: 56.0ms (15.6% of total)adjust: 49.0ms (13.7% of total)ival-div: 30.0ms (8.4% of total)ival-sub: 23.0ms (6.4% of total)ival-mult: 19.0ms (5.3% of total)ival-add: 17.0ms (4.7% of total)ival-log: 11.0ms (3.1% of total)ival-neg: 7.0ms (2% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
#s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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) (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) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 (/.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)))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(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 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #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 (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) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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))) |
| Outputs |
|---|
1 |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg t))))) 3)) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))))))) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) |
(+ 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 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(+ 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 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s))))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))) |
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(+ (* c_n (- (/ (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow (/ 1 (+ 1 (exp (neg 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))) |
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (+ (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))))))) (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(- (log 2) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* -1/2 t)) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* t (- (* 1/8 t) 1/2))) (log (+ 1 (exp (neg s))))) |
(- (+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2)) |
(+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 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)))) |
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))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(* -1/2 s) |
(* s (- (* -1/8 s) 1/2)) |
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
(* s (- (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)) 1/2)) |
(- (log (+ 1 (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)) |
(- (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))))))) |
(log 2) |
(+ (log 2) (* -1/2 s)) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
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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 (* 1/2 (* c_p s))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3)))))))))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(/ (pow 1/2 c_n) (pow (- 1 (/ 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))) |
(+ 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))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(log (+ 1 (exp (neg s)))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(+ 1 (exp (neg s))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (+ 1 (exp (* -1 s)))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(+ 1 (exp (* -1 s))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 177.0ms | s | @ | inf | ((- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (pow (/ 1 (+ (exp (neg s)) 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)) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (+ (exp (neg s)) 1) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 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)))) |
| 51.0ms | s | @ | -inf | ((- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (pow (/ 1 (+ (exp (neg s)) 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)) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (+ (exp (neg s)) 1) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 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)))) |
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 6391 |
| 1 | 1879 | 5832 |
| 2 | 6398 | 5193 |
| 0 | 8229 | 4655 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) |
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2)) |
(+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/2 (* c_p (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (+ (* -1/2 (/ (* c_p (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p)))))) (+ (* -1/4 (/ (* (pow c_p 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (* 1/2 (/ (* c_p (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (pow 1/2 c_p))))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 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)))) |
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))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(* -1/2 s) |
(* s (- (* -1/8 s) 1/2)) |
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
(* s (- (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)) 1/2)) |
(- (log (+ 1 (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)) |
(- (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))))))) |
(log 2) |
(+ (log 2) (* -1/2 s)) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* 1/2 (/ (* c_p (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (* s (+ (/ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(+ 1 (* 1/2 (* c_p s))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3)))))))))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(/ (pow 1/2 c_n) (pow (- 1 (/ 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))) |
(+ 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))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(log (+ 1 (exp (neg s)))) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
(+ 1 (exp (neg s))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (+ 1 (exp (* -1 s)))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(- 1 (/ 1 (+ 1 (exp (* -1 s))))) |
(+ 1 (exp (* -1 s))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64)) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (log (/ 1 (+ 1 (exp (neg s))))) (log (/ 1 (+ 1 (exp (neg t))))))))))) (log (/ 1 (+ 1 (exp (neg t)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 2 binary64))) (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p #s(literal 1 binary64)) |
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1/2 |
#s(literal 1/2 binary64) |
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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)))) |
(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 #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) (pow.f64 #s(literal 1/2 binary64) c_p)) (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (fma.f64 (/.f64 (*.f64 (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (*.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)) (/.f64 #s(literal 1/2 binary64) (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_n c_n) (fma.f64 #s(literal -1/48 binary64) c_n #s(literal 1/16 binary64)) (*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/48 binary64) c_p #s(literal -1/16 binary64)))))))) s))) s (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 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 (* 1/2 (* c_p s))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(fma.f64 (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 #s(literal 1 binary64)) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3)))))))))) |
(fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64)) |
(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 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) s) (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 (pow.f64 #s(literal 1/2 binary64) c_p)) |
(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) 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)) |
(+ (* -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))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) c_n) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) s) (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))) |
(+ (* 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))) |
(fma.f64 (*.f64 (/.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)) (fma.f64 (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) s (*.f64 #s(literal -1/2 binary64) c_n))) s (/.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 (+ (* -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))) |
(fma.f64 (fma.f64 (*.f64 (/.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)) (fma.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64)) (*.f64 (*.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 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64)) (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 (/.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))) |
(+ 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)) |
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)) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 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 (exp (neg s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (- 1 (/ 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))))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 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)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(/ (pow (- 1 (/ 1 (+ 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)))) |
(+ 1 (exp (* -1 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 522 |
| 0 | 125 | 499 |
| 1 | 530 | 474 |
| 2 | 3502 | 467 |
| 0 | 9653 | 453 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
#s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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) (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) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 (/.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)))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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))) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #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(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 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #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 (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) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #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 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log.f64 #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 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) (log.f64 #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (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 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -3 binary64))) (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))))) |
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.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 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))))) |
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
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(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) c_p)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p))) (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(neg.f64 (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (neg.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(exp.f64 (neg.f64 (-.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) c_p)))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) c_p))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) c_p (neg.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))))) |
(exp.f64 (*.f64 (-.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) c_p)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) c_p) (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p))) |
(*.f64 (pow.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (neg.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #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 #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 -1/2 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p))) |
(*.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 (pow.f64 (neg.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) #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 #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 -1/2 binary64)) c_p) (pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1/2 binary64)) c_p)) |
(*.f64 (pow.f64 #s(literal -1 binary64) c_p) (pow.f64 (pow.f64 (neg.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) #s(literal -1 binary64)) c_p)) |
(*.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) c_p))) |
(*.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p))) |
(pow.f64 (exp.f64 c_p) (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))))) |
(pow.f64 (*.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -2 binary64)) c_p) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) c_p) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (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 #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 (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -2 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) c_p))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) 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 (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
Compiled 34 727 to 2 302 computations (93.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 8 | 424 |
| Fresh | 2 | 5 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 421 | 15 | 436 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
| ▶ | 93.2% | #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| 91.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| ✓ | 92.1% | #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 #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))) |
| 92.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 91.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64)))) | |
| 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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| 91.3% | #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)) (/.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)))) | |
| ▶ | 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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
| 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) | |
| 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) | |
| 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #s(literal 1 binary64))))) | |
| ▶ | 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
| ✓ | 93.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| ▶ | 93.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (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 2 182 to 1 147 computations (47.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14296401702934963 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| accuracy | 1.2109099693309635 | (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) | |
| accuracy | 1.656266506304951 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| accuracy | 2.0730887526959227 | #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) | |
| accuracy | 0.03125 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| accuracy | 0.29953118476041063 | #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 | 0.34850193296118376 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) 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 | 0.9687610042032975 | (/.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 | 0.14296401702934963 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| accuracy | 1.2182016992360396 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 1.652360256304951 | (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)) | |
| accuracy | 2.9282860241350597 | #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) c_p) | |
| accuracy | 0.10346306008742116 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)))) | |
| accuracy | 0.14296401702934963 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg 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(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) | |
| accuracy | 0.2420431968036627 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))) | |
| accuracy | 1.2182016992360396 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 1.834145250440118 | #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))) | |
| accuracy | 2.6359475997100072 | #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)) | |
| accuracy | 51.703485429800885 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
| 396.0ms | 207× | 1 | valid |
| 86.0ms | 21× | 2 | valid |
| 38.0ms | 7× | 4 | exit |
| 8.0ms | 13× | 0 | valid |
| 7.0ms | 8× | 1 | exit |
Compiled 1 731 to 181 computations (89.5% saved)
ival-log1p: 93.0ms (20.1% of total)ival-pow: 81.0ms (17.5% of total)ival-exp: 80.0ms (17.3% of total)adjust: 63.0ms (13.6% of total)ival-mult: 40.0ms (8.6% of total)ival-div: 33.0ms (7.1% of total)ival-sub: 26.0ms (5.6% of total)ival-add: 24.0ms (5.2% of total)ival-log: 11.0ms (2.4% of total)ival-neg: 7.0ms (1.5% of total)const: 4.0ms (0.9% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
#s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)) |
#s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
(/.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 #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 #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| Outputs |
|---|
1 |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) |
(+ 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 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(+ 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 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(/ (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 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)))))))) |
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(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -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))) |
(+ (* 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))) |
(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 (/ (* 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))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(log (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (+ 1 (exp (* -1 s)))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ 1 (exp (* -1 s))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 86.0ms | s | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (* 1/2 c_p) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 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)))) |
| 54.0ms | t | @ | -inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (* 1/2 c_p) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 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)))) |
| 53.0ms | t | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (* 1/2 c_p) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 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)))) |
| 51.0ms | s | @ | -inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (* 1/2 c_p) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 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)))) |
| 20.0ms | c_n | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg s)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (* 1/2 c_p) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 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 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg t)) 1))) (+ (exp (neg s)) 1) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 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)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 686 | 6723 |
| 1 | 2006 | 6154 |
| 2 | 6950 | 6140 |
| 0 | 8491 | 5558 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) |
(+ 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 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(+ 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 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(/ (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 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* 1/2 (* c_n (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (+ (* 1/2 (/ (* c_n (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n)))))) (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
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 (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (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 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- (log (+ 1 (exp (neg t)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
(* -1/2 s) |
(* s (- (* -1/8 s) 1/2)) |
(* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)) |
(* s (- (* s (- (* (pow s 2) (+ 1/192 (* -1/2880 (pow s 2)))) 1/8)) 1/2)) |
(- (log 1/2) (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))))))) |
(log 2) |
(+ (log 2) (* -1/2 s)) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(+ 1 (* 1/2 (* c_p s))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))))))) |
(+ 1 (* s (+ (* 1/2 c_p) (* s (+ (* -1/8 c_p) (+ (* 1/8 (pow c_p 2)) (* s (+ (* -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))) |
(+ (* 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))) |
(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 (/ (* 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))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(log (+ 1 (exp (neg s)))) |
(+ 1 (exp (neg s))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(log (+ 1 (exp (* -1 s)))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(+ 1 (exp (* -1 s))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* c_p (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) |
(fma.f64 (-.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64)) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))) c_p (-.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p #s(literal 1 binary64)) |
(+ 1 (* c_p (- (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (- (+ (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (* c_p (- (* 1/6 (pow (log (/ 1 (+ 1 (exp (neg s))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (/ 1 (+ 1 (exp (neg s))))) (log 1/2))))))) (log 1/2)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))) c_p (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64))))) c_p (-.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (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))) (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))) |
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(+ (* -1/2 (/ (* c_p (* t (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow 1/2 c_p))) (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))) |
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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))) |
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(+ 1 (* 1/2 (* c_n t))) |
(fma.f64 (*.f64 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* t (- (* -1 (* t (+ (* -1/4 (pow c_n 2)) (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (* -1/2 c_n)))) |
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 c_n c_n) #s(literal -1/4 binary64) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n))) t (*.f64 #s(literal -1/2 binary64) c_n))) t #s(literal 1 binary64)) |
(+ 1 (* t (- (* t (- (* -1 (* t (+ (* -1/48 (pow c_n 3)) (+ (* 1/16 (pow c_n 2)) (+ (* 1/2 (* c_n (+ (* -1/4 (pow c_n 2)) (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (* 1/2 (* c_n (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))))) (+ (* -1/4 (pow c_n 2)) (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))) (* -1/2 c_n)))) |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
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(+ (* 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 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) (/.f64 t (pow.f64 #s(literal 1/2 binary64) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* 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))) |
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(+ (* 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))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 t)) |
(fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64)) |
(+ 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 (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
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(+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (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 (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) s (/.f64 (*.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 (/.f64 (*.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))) (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 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_p)) s (*.f64 c_p #s(literal 1/2 binary64)))) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.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))) s (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 (/ (* 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))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) 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)) #s(literal -1/2 binary64) (/.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 (+ (* -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))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) s) (/.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 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64)) (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 (/.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 (+ (* -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))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.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))) (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 (/.f64 (*.f64 (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) s (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64)) (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 (/.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))) |
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)) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(+ 1 (exp (neg s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log 1/2)) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(- (log (- 1 (/ 1 (+ 1 (exp (* -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))))) |
(log (+ 1 (exp (* -1 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow 1/2 c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/ (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p) (pow (/ 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) |
(/ (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 (exp (* -1 s))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 633 |
| 0 | 137 | 608 |
| 1 | 601 | 580 |
| 2 | 3966 | 580 |
| 0 | 8249 | 571 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
#s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)) |
#s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) c_p) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)))) |
(/.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 #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 #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal -1 binary64))) |
(*.f64 (-.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))) (pow.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 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)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 t))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))) |
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(pow.f64 (pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64)) c_p) |
(pow.f64 (exp.f64 c_p) (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -1 binary64)) c_p) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) #s(literal -2 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) c_p))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))) c_p)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
Compiled 33 702 to 2 092 computations (93.8% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 359 | 6 | 365 |
| Fresh | 1 | 7 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 364 | 16 | 380 |
| Status | Accuracy | Program |
|---|---|---|
| 96.0% | (exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) | |
| ✓ | 92.1% | #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 #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))) |
| 93.2% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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))) | |
| 92.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 91.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64)))) | |
| 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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| 91.3% | #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)) (/.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)))) | |
| 89.8% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))))) c_p #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| 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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)))) | |
| 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) | |
| 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) | |
| 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #s(literal 1 binary64))))) | |
| ✓ | 93.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
| ✓ | 93.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| 93.6% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) (fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64))) c_n)))) | |
| 93.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
Compiled 3 678 to 929 computations (74.7% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #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(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) (fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64))) c_n)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) 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 (+ (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) 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) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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) #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) 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)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) |
(exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) c_n))) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64)))))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) 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 #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))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (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)))) |
(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 |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) c_n))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
13 calls:
| 30.0ms | c_n |
| 13.0ms | (exp.f64 (neg.f64 t)) |
| 13.0ms | (neg.f64 s) |
| 9.0ms | (neg.f64 t) |
| 9.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | c_p |
| 96.6% | 1 | c_n |
| 98.3% | 2 | t |
| 96.6% | 1 | s |
| 96.6% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 96.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 96.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 96.6% | 1 | (exp.f64 (neg.f64 s)) |
| 96.6% | 1 | (neg.f64 s) |
| 96.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 96.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 96.6% | 1 | (exp.f64 (neg.f64 t)) |
| 98.3% | 2 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #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(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) (fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64))) c_n)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) 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 (+ (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) 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) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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) #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) 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)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) |
(exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
| Outputs |
|---|
(exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
3 calls:
| 10.0ms | c_p |
| 7.0ms | (neg.f64 t) |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | t |
| 96.6% | 1 | (neg.f64 t) |
| 98.3% | 2 | c_p |
Compiled 4 to 13 computations (-225% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #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(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) (fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64))) c_n)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) 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 (+ (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) 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) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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) #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) 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)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) |
(exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.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))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (neg.f64 (log1p.f64 (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) |
(exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) |
13 calls:
| 9.0ms | c_p |
| 8.0ms | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 7.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 7.0ms | (neg.f64 t) |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | t |
| 96.0% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 96.0% | 1 | (exp.f64 (neg.f64 s)) |
| 97.9% | 2 | (neg.f64 s) |
| 96.0% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 96.0% | 1 | c_n |
| 97.9% | 2 | s |
| 96.0% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 96.0% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 96.0% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 96.0% | 1 | (exp.f64 (neg.f64 t)) |
| 96.0% | 1 | (neg.f64 t) |
| 97.7% | 2 | c_p |
Compiled 81 to 94 computations (-16% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #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(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) (fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64))) c_n)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) 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 (+ (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) 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) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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) #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) 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)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) |
13 calls:
| 8.0ms | s |
| 7.0ms | c_p |
| 7.0ms | t |
| 6.0ms | (neg.f64 s) |
| 6.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 2 | t |
| 95.5% | 2 | c_n |
| 93.7% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 93.7% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 93.7% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 93.7% | 1 | (exp.f64 (neg.f64 s)) |
| 93.7% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 93.7% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 93.7% | 1 | (exp.f64 (neg.f64 t)) |
| 95.5% | 2 | (neg.f64 t) |
| 96.5% | 2 | c_p |
| 95.6% | 2 | (neg.f64 s) |
| 95.6% | 2 | s |
Compiled 81 to 94 computations (-16% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #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(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) (fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64))) c_n)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) 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 (+ (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) 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) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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) #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 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) 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))) (/.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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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))) |
6 calls:
| 32.0ms | s |
| 6.0ms | c_p |
| 6.0ms | (neg.f64 t) |
| 6.0ms | (neg.f64 s) |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 2 | c_n |
| 93.7% | 1 | t |
| 93.7% | 1 | (neg.f64 t) |
| 93.7% | 1 | s |
| 93.7% | 1 | (neg.f64 s) |
| 93.7% | 1 | c_p |
Compiled 8 to 26 computations (-225% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (*.f64 #s(literal 1/2 binary64) c_p) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (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 #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(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow 1/2 c_p)) (fma.f64 (fma.f64 (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 (*.f64 #s(literal 1/2 binary64) c_p)) s #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) (fma.f64 #s(literal -1/4 binary64) t #s(literal 1/2 binary64))) c_n)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (log.f64 #s(literal 2 binary64)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp (neg s)))) (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p #s(literal 1 binary64))) (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 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 #s(literal -1 binary64) 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 (+ (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) 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)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) 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) #s(approx (+ (exp (neg s)) 1) (-.f64 #s(literal 2 binary64) s))) 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
| Outputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
2 calls:
| 16.0ms | c_n |
| 5.0ms | (neg.f64 t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | (neg.f64 t) |
| 93.7% | 1 | c_n |
Compiled 3 to 9 computations (-200% 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:
| 9.0ms | c_p |
| 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 | (neg.f64 t) |
| 1.0ms | c_n |
| 1.0ms | (neg.f64 s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 1 | c_p |
| 93.6% | 1 | t |
| 93.6% | 1 | s |
| 93.6% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 93.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 93.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 93.6% | 1 | (exp.f64 (neg.f64 s)) |
| 93.6% | 1 | (neg.f64 s) |
| 93.6% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 93.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 93.6% | 1 | (exp.f64 (neg.f64 t)) |
| 93.6% | 1 | c_n |
| 93.6% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 5.312359427370121e-188 | 5.746523208316659e-188 |
| 5.0ms | 32× | 0 | valid |
Compiled 294 to 197 computations (33% saved)
ival-div: 1.0ms (26.4% of total)ival-pow: 1.0ms (26.4% of total)ival-add: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.6353983856802425e-43 | 6.366773572856417e-41 |
| 2.0ms | 15× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
| 0.0ms | 1× | 1 | valid |
Compiled 174 to 124 computations (28.7% saved)
ival-pow: 1.0ms (36.9% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.1s | -3.738768077892749e+61 | -192029624.1425681 |
| 1.6s | 1 372× | 5 | exit |
| 35.0ms | 191× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 1 810 to 1 133 computations (37.4% saved)
adjust: 450.0ms (33.6% of total)ival-pow: 395.0ms (29.5% of total)ival-div: 200.0ms (14.9% of total)ival-exp: 99.0ms (7.4% of total)ival-sub: 71.0ms (5.3% of total)ival-mult: 55.0ms (4.1% of total)ival-add: 51.0ms (3.8% of total)ival-neg: 18.0ms (1.3% of total)ival-true: 2.0ms (0.1% of total)ival-assert: 1.0ms (0.1% of total)exact: 1.0ms (0.1% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 6.726686544824797e-6 | 1.047634874782998e-5 |
| 34.0ms | 62× | 0 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 638 to 357 computations (44% saved)
ival-pow: 4.0ms (42.9% of total)ival-div: 1.0ms (10.7% of total)ival-add: 1.0ms (10.7% of total)ival-exp: 1.0ms (10.7% of total)ival-mult: 1.0ms (10.7% of total)ival-sub: 1.0ms (10.7% of total)ival-neg: 1.0ms (10.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.2767508535963674e-11 | 9.844362152698665e-11 |
| 8.0ms | 48× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 475 to 269 computations (43.4% saved)
ival-pow: 3.0ms (42.3% of total)ival-div: 1.0ms (14.1% of total)ival-exp: 1.0ms (14.1% of total)ival-sub: 1.0ms (14.1% of total)ival-add: 1.0ms (14.1% of total)ival-mult: 1.0ms (14.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 863 |
| 1 | 220 | 859 |
| 2 | 329 | 857 |
| 3 | 507 | 857 |
| 4 | 730 | 857 |
| 5 | 1180 | 857 |
| 6 | 3593 | 857 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 c_p #s(literal 529079397550993/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) c_n))) (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 c_p #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)) (exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) (exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 c_p #s(literal 8264141345021879/1180591620717411303424 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))))))) |
(if (<=.f64 c_n #s(literal 290142196707511/4835703278458516698824704 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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))) #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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 c_p #s(literal 529079397550993/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) c_n))) (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 c_p #s(literal 529079397550993/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1 binary64))) c_n) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) c_n))) (exp.f64 (fma.f64 c_p (+.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 c_p #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)) (exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 c_p #s(literal 5021681388309345/25108406941546723055343157692830665664409421777856138051584 binary64)) (exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s))))))) (exp.f64 (fma.f64 c_p (+.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64)))))))) (exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 s #s(literal -750000000 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (neg.f64 c_p) (log.f64 #s(literal 1/2 binary64))))))) (exp.f64 (fma.f64 c_p #s(approx (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) (*.f64 c_n #s(approx (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (fma.f64 #s(literal 1/2 binary64) t #s(approx (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log 1/2)) (*.f64 #s(literal -1/2 binary64) s)))))))) |
(if (<=.f64 c_p #s(literal 8264141345021879/1180591620717411303424 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))))))) |
(if (<=.f64 c_p #s(literal 8264141345021879/1180591620717411303424 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (neg.f64 c_p)) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64)) c_p))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (exp.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (neg.f64 c_p) (log.f64 #s(literal 1/2 binary64)))))))) |
(if (<=.f64 c_n #s(literal 290142196707511/4835703278458516698824704 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (*.f64 #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)))) |
(if (<=.f64 c_n #s(literal 290142196707511/4835703278458516698824704 binary64)) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 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) (pow.f64 (+.f64 (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))) #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))) (neg.f64 c_p)) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64)) c_p)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (- 1 (/ 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 c_n t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 686 | 6723 |
| 1 | 2006 | 6154 |
| 2 | 6950 | 6140 |
| 0 | 8491 | 5558 |
| 0 | 343 | 3990 |
| 1 | 1049 | 3483 |
| 2 | 3959 | 3029 |
| 0 | 8028 | 2792 |
| 0 | 82 | 522 |
| 0 | 125 | 499 |
| 1 | 530 | 474 |
| 2 | 3502 | 467 |
| 0 | 9653 | 453 |
| 0 | 72 | 397 |
| 0 | 124 | 381 |
| 1 | 470 | 360 |
| 2 | 2851 | 347 |
| 0 | 8935 | 341 |
| 0 | 648 | 6391 |
| 1 | 1879 | 5832 |
| 2 | 6398 | 5193 |
| 0 | 8229 | 4655 |
| 0 | 22 | 70 |
| 0 | 39 | 70 |
| 1 | 151 | 70 |
| 2 | 1022 | 66 |
| 0 | 8636 | 57 |
| 0 | 96 | 633 |
| 0 | 137 | 608 |
| 1 | 601 | 580 |
| 2 | 3966 | 580 |
| 0 | 8249 | 571 |
| 0 | 622 | 6313 |
| 1 | 1821 | 5754 |
| 2 | 6251 | 5112 |
| 0 | 8293 | 4587 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 534 to 626 computations (59.2% saved)
Compiled 1 858 to 368 computations (80.2% saved)
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