
Time bar (total: 51.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 3 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 4 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 5 |
| 0% | 0% | 21.8% | 75% | 0% | 3.1% | 0% | 6 |
| 0% | 0% | 18.7% | 75% | 0% | 6.2% | 0% | 7 |
| 19% | 3.1% | 13.3% | 75% | 0% | 8.6% | 0% | 8 |
| 19% | 3.1% | 13.3% | 75% | 0% | 8.6% | 0% | 9 |
| 21.6% | 3.1% | 11.3% | 75% | 0% | 10.5% | 0% | 10 |
| 24.6% | 3.1% | 9.6% | 75% | 0% | 12.3% | 0% | 11 |
| 35.6% | 3.1% | 5.7% | 75% | 0% | 16.2% | 0% | 12 |
Compiled 51 to 27 computations (47.1% saved)
| 28.2s | 7 670× | 5 | exit |
| 5.5s | 24 812× | 0 | exit |
| 1.5s | 8 067× | 0 | valid |
| 406.0ms | 22× | 4 | valid |
| 145.0ms | 15× | 3 | valid |
| 72.0ms | 134× | 1 | valid |
| 20.0ms | 18× | 2 | valid |
| 19.0ms | 2× | 3 | exit |
| 14.0ms | 31× | 1 | exit |
ival-pow: 25.2s (76.2% of total)adjust: 2.2s (6.7% of total)ival-div: 1.6s (4.7% of total)ival-exp: 937.0ms (2.8% of total)ival-add: 823.0ms (2.5% of total)ival-sub: 748.0ms (2.3% of total)ival-mult: 674.0ms (2% of total)ival-neg: 549.0ms (1.7% of total)ival-<: 242.0ms (0.7% of total)ival-and: 66.0ms (0.2% of total)exact: 66.0ms (0.2% of total)ival-assert: 19.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 0 | - | 17 | (49064.80453212171 1.1823153881915718e-244 -5.252715943552286e-192 -7.939212207164079e-215) | (/.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))) |
| 3 | 11 | (33064990.973325215 9.211504211350901e-63 2.9074376005116493e-60 -4.259160725172336e-174) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
| 3 | 10 | (33064990.973325215 9.211504211350901e-63 2.9074376005116493e-60 -4.259160725172336e-174) | 0 | - | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
| 1 | 7 | (2.017571391127452e-176 51588.234790766706 5.640027867952854e-105 -9.922056781850058e-114) | 1 | (5.1617461938355654e-5 1.727043886767258e-28 -5.984324436293067e-54 963.2315638522268) | (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 | 6 | (5.1617461938355654e-5 1.727043886767258e-28 -5.984324436293067e-54 963.2315638522268) | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| 1 | 11 | (2.017571391127452e-176 51588.234790766706 5.640027867952854e-105 -9.922056781850058e-114) | 1 | (1.0050918544959644e+261 1.3431796741573352e-23 1384.7715117930773 5.011632748200364e-124) | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
| 0 | 0 | - | 0 | - | (neg.f64 s) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
| 0 | 0 | - | 0 | - | (neg.f64 t) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 0 | 1 | (1.0050918544959644e+261 1.3431796741573352e-23 1384.7715117930773 5.011632748200364e-124) | 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 | 1 | (5.271087187599738e-172 7.98293836816936e-177 -130.50152387481532 1.2566926193618258e-45) | 0 | - | (exp.f64 (neg.f64 t)) |
| 0 | 2 | (5.455989143200676e-242 3.713179747598157e-32 4.494201181166391e-194 236.0955538298976) | 0 | - | (exp.f64 (neg.f64 s)) |
| 0 | 0 | - | 0 | - | c_n |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
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 | 11 | 0 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | sensitivity | 10 | 1 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | sensitivity | 8 | 1 |
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 | 7 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | cancellation | 7 | 0 |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | uflow-rescue | 6 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | underflow | 11 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | underflow | 6 | |
| ↳ | (exp.f64 (neg.f64 s)) | underflow | 6 | |
pow.f64 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | uflow-rescue | 3 | 0 |
| ↳ | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | underflow | 9 | |
| ↳ | (exp.f64 (neg.f64 t)) | underflow | 1 | |
| ↳ | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) | underflow | 3 | |
exp.f64 | (exp.f64 (neg.f64 s)) | sensitivity | 2 | 0 |
exp.f64 | (exp.f64 (neg.f64 t)) | sensitivity | 1 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 26 | 0 |
| - | 4 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 0 | 0 |
| - | 4 | 1 | 225 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 8 |
| 2 | 18 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 91.0ms | 496× | 0 | valid |
| 24.0ms | 2× | 3 | valid |
| 15.0ms | 10× | 2 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 593 to 180 computations (69.6% saved)
ival-pow: 58.0ms (55.9% of total)ival-div: 10.0ms (9.6% of total)ival-exp: 8.0ms (7.7% of total)ival-sub: 8.0ms (7.7% of total)ival-add: 6.0ms (5.8% of total)ival-mult: 6.0ms (5.8% of total)ival-neg: 5.0ms (4.8% of total)adjust: 1.0ms (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 |
| 594× | sub-neg |
| 524× | div-sub |
| 496× | associate-/r* |
| 464× | times-frac |
| 418× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 606 |
| 1 | 250 | 606 |
| 2 | 673 | 606 |
| 3 | 1430 | 606 |
| 4 | 2139 | 606 |
| 5 | 2759 | 606 |
| 6 | 3172 | 606 |
| 7 | 3532 | 606 |
| 8 | 4111 | 606 |
| 9 | 4200 | 606 |
| 10 | 4216 | 606 |
| 11 | 4216 | 606 |
| 0 | 22 | 43 |
| 0 | 39 | 43 |
| 1 | 65 | 43 |
| 2 | 103 | 43 |
| 3 | 141 | 43 |
| 4 | 187 | 43 |
| 5 | 236 | 43 |
| 6 | 291 | 43 |
| 7 | 339 | 43 |
| 8 | 355 | 43 |
| 9 | 365 | 43 |
| 10 | 369 | 43 |
| 0 | 369 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) |
Compiled 43 to 22 computations (48.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.9% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
Compiled 43 to 22 computations (48.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
| 136× | lower-*.f32 |
| 132× | lower-*.f64 |
| 128× | lower-fma.f64 |
| 128× | lower-fma.f32 |
| 128× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 182 |
| 0 | 39 | 182 |
| 1 | 65 | 182 |
| 2 | 103 | 182 |
| 3 | 141 | 182 |
| 4 | 187 | 182 |
| 5 | 236 | 182 |
| 6 | 291 | 182 |
| 7 | 339 | 182 |
| 8 | 355 | 182 |
| 9 | 365 | 182 |
| 10 | 369 | 182 |
| 0 | 369 | 182 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
c_n |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
c_n |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25552451926449526 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.7265459815973854 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 0.7265459815985781 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 4.14455325538396 | (/.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))) |
| 49.0ms | 248× | 0 | valid |
| 9.0ms | 1× | 3 | valid |
| 8.0ms | 5× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 184 to 24 computations (87% saved)
ival-pow: 24.0ms (48.8% of total)ival-add: 6.0ms (12.2% of total)ival-div: 5.0ms (10.2% of total)ival-exp: 4.0ms (8.1% of total)ival-neg: 4.0ms (8.1% of total)ival-mult: 3.0ms (6.1% of total)ival-sub: 2.0ms (4.1% of total)adjust: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (pow 1/2 c_n) (pow 1/2 c_p)) (taylor 0 s) (#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (taylor 0 s) (#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (taylor 0 s) (#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (taylor 0 s) (#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #<representation binary64>) () ())) ()) |
#s(alt (pow 1/2 c_p) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/4 s)) (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 s)) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* s (- (* 1/2 s) 1))) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (taylor 0 s) (#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 143.0ms | t | @ | inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 131.0ms | s | @ | inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 70.0ms | t | @ | -inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 64.0ms | s | @ | -inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 40.0ms | c_p | @ | inf | ((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s)))))) |
| 1× | egg-herbie |
| 13 604× | lower-fma.f64 |
| 13 604× | lower-fma.f32 |
| 6 730× | lower-*.f64 |
| 6 730× | lower-*.f32 |
| 5 028× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 6854 |
| 1 | 1288 | 6276 |
| 2 | 4718 | 5743 |
| 0 | 8730 | 5438 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
1/2 |
(+ 1/2 (* 1/4 s)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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1 |
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1 |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(+ (* -1 (/ (* t (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) |
(+ (* t (- (* -1 (* t (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) |
(+ (* t (- (* t (- (* -1 (* t (+ (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))) (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* -1 (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))))) (+ (* -1 (/ (* (pow (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) 2) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 3) (pow (pow 1/2 c_p) 3)))) (/ (* (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2)))))) (/ (* (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (* (pow (pow 1/2 c_n) 2) (pow (pow 1/2 c_p) 2))))) (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p)))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
| Outputs |
|---|
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p (fma.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64)) (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64)))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* s (+ (* -1/2 (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c_n) (*.f64 (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p) (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))) (fma.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/48 binary64) c_p #s(literal -1/16 binary64)) (*.f64 (*.f64 c_n c_n) (fma.f64 #s(literal -1/48 binary64) c_n #s(literal 1/16 binary64))))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (*.f64 #s(literal -1/4 binary64) c_n) c_p (fma.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64)) (*.f64 c_n (fma.f64 #s(literal 1/8 binary64) c_n #s(literal -1/8 binary64))))))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))) s (*.f64 c_p #s(literal 1/2 binary64)))) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) c_p (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 (*.f64 (*.f64 c_p c_p) (fma.f64 #s(literal 1/48 binary64) c_p #s(literal -1/16 binary64))) s (*.f64 c_p (fma.f64 #s(literal 1/8 binary64) c_p #s(literal -1/8 binary64))))) s)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 s)) |
(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) |
(fma.f64 (fma.f64 (*.f64 s s) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 s s) #s(literal -1/48 binary64)) (*.f64 s s) #s(literal 1/4 binary64)) s #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 s)) |
(-.f64 #s(literal 2 binary64) s) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c_n))) s (/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
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(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
| 4 536× | lower-*.f32 |
| 4 532× | lower-*.f64 |
| 3 976× | lower-fma.f64 |
| 3 976× | lower-fma.f32 |
| 3 722× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 103 |
| 0 | 39 | 103 |
| 1 | 151 | 103 |
| 2 | 1022 | 98 |
| 0 | 8612 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
| Outputs |
|---|
(*.f64 (*.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64))))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (neg.f64 (neg.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 s)))))) c_n)) |
(*.f64 (neg.f64 (neg.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 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
(*.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) c_n (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64))))) (pow.f64 (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 (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 (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 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64)) (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 (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 #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 (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))) #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) (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))))) |
(*.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 s)) #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)) (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(*.f64 #s(literal 1 binary64) (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)))) |
(pow.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (*.f64 c_n #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(neg.f64 (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 0 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))))) |
(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))) |
(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))) c_n))) |
(*.f64 (*.f64 (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 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (/.f64 (*.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (/.f64 (*.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (/.f64 (neg.f64 c_p) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (/.f64 (neg.f64 c_p) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 s) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 c_p #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 c_p #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 s) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 c_p #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 c_p #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 c_p #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 c_p #s(literal 1 binary64)))) |
(*.f64 (pow.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) (*.f64 c_p #s(literal 1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 c_p #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))) |
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(-.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(exp.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) #s(literal -2 binary64))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))))) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
Compiled 37 595 to 2 470 computations (93.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 701 | 6 | 707 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 702 | 6 | 708 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.7% | (/.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) #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))) |
| ▶ | 90.1% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 90.5% | (/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| ▶ | 96.6% | (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 (-.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))))))) |
| ▶ | 92.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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))) |
| ▶ | 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
Compiled 400 to 270 computations (32.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| cost-diff | 6720 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| cost-diff | 12608 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| cost-diff | 6336 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| cost-diff | 12352 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| cost-diff | 6720 | (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| cost-diff | 1024 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) | |
| cost-diff | 12608 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| cost-diff | 0 | (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) | |
| cost-diff | 0 | (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) | |
| cost-diff | 256 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
| 4 806× | lower-fma.f32 |
| 4 804× | lower-fma.f64 |
| 2 152× | lower-*.f32 |
| 2 142× | lower-*.f64 |
| 1 360× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 897 |
| 0 | 135 | 897 |
| 1 | 206 | 894 |
| 2 | 332 | 891 |
| 3 | 541 | 862 |
| 4 | 899 | 801 |
| 5 | 1469 | 798 |
| 6 | 2618 | 798 |
| 7 | 3967 | 798 |
| 8 | 5208 | 798 |
| 9 | 6041 | 798 |
| 10 | 6822 | 798 |
| 11 | 7349 | 798 |
| 12 | 7746 | 798 |
| 0 | 8023 | 757 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
c_p |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))) |
c_n |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal -1 binary64) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
c_n |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) |
(-.f64 #s(literal 2 binary64) s) |
#s(literal 2 binary64) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
c_n |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
| Outputs |
|---|
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))) |
(/.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n)) |
c_p |
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n) |
c_n |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) |
#s(literal -1 binary64) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow.f64 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow.f64 (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 c_p)) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) c_p)) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(/.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) c_p)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 c_p)) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
c_n |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) |
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) |
#s(literal 1 binary64) |
#s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) |
(-.f64 #s(literal 2 binary64) s) |
#s(literal 2 binary64) |
s |
c_p |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
c_n |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(/.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(pow.f64 (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 c_p)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) | |
| accuracy | 0.7265459815973854 | (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) | |
| accuracy | 2.386111495802619 | #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) | |
| accuracy | 2.9140913855298916 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 0.25552451926449526 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) | |
| accuracy | 0.7265459815973854 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) | |
| accuracy | 2.9140913855298916 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 4.414735601907047 | #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.24218199386619269 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) | |
| accuracy | 0.25552451926449526 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.7464357954379017 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) | |
| accuracy | 1.214857505254126 | (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) | |
| accuracy | 0.23194493088262982 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| accuracy | 0.48436398773238537 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) | |
| accuracy | 0.7265459815973854 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.699233880275765 | (/.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 | 0.4959957666995539 | (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) | |
| accuracy | 0.7302577683981903 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 53.3135939847556 | (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) | |
| accuracy | 53.32491696680018 | (-.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)))) |
| 635.0ms | 206× | 1 | valid |
| 130.0ms | 4× | 4 | exit |
| 84.0ms | 12× | 2 | valid |
| 14.0ms | 30× | 0 | valid |
| 3.0ms | 4× | 1 | exit |
Compiled 871 to 55 computations (93.7% saved)
ival-pow: 343.0ms (44.7% of total)adjust: 137.0ms (17.8% of total)ival-exp: 129.0ms (16.8% of total)ival-sub: 48.0ms (6.2% of total)ival-log1p: 46.0ms (6% of total)ival-div: 35.0ms (4.6% of total)ival-mult: 12.0ms (1.6% of total)ival-add: 11.0ms (1.4% of total)ival-neg: 6.0ms (0.8% of total)exact: 1.0ms (0.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (patch (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (patch (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (patch (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (patch (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (patch (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (patch #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (log (+ 1 (exp (neg t)))) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ()) |
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#s(alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) (taylor -inf t) (#s(alt (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (patch (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) (taylor -inf t) (#s(alt (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) (patch (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 185.0ms | t | @ | -inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ 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))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (+ 1 (exp (neg s))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 70.0ms | s | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ 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))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (+ 1 (exp (neg s))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 69.0ms | c_p | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ 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))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (+ 1 (exp (neg s))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 67.0ms | t | @ | inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ 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))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (+ 1 (exp (neg s))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 59.0ms | s | @ | -inf | ((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (pow (/ 1 (+ 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))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (+ 1 (exp (neg s))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
| 1× | egg-herbie |
| 11 654× | lower-fma.f64 |
| 11 654× | lower-fma.f32 |
| 7 388× | lower-*.f64 |
| 7 388× | lower-*.f32 |
| 4 856× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 782 | 28743 |
| 1 | 2363 | 26557 |
| 2 | 7799 | 26540 |
| 0 | 8112 | 24740 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (log (+ 1 (exp (neg t)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))))) |
(* -1 (log 2)) |
(- (* 1/2 s) (log 2)) |
(- (* s (+ 1/2 (* -1/8 s))) (log 2)) |
(- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2)) |
(log 2) |
(+ (log 2) (* -1/2 s)) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(/ (pow 1/2 c_p) (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)))) |
(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)) |
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1/2 |
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1/2 |
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(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(- (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 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_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
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(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 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)) |
2 |
(+ 2 (* -1 s)) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
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(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
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(* -1 (log (+ 1 (exp (neg s))))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(log (+ 1 (exp (neg s)))) |
(log (+ 1 (exp (neg s)))) |
(log (+ 1 (exp (neg s)))) |
(log (+ 1 (exp (neg s)))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(- 1 (/ 1 (+ 1 (exp (neg s))))) |
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1 |
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1 |
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1 |
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(+ 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))))))) |
1 |
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1 |
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1/2 |
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1/2 |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
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(pow 1/2 c_p) |
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(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(/ (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 (/ 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 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 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 (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 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 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
| Outputs |
|---|
(- (log (+ 1 (exp (neg t)))) (log 2)) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) |
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) |
(fma.f64 s #s(literal 1/2 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal 1/2 binary64)) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) |
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 s s) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64))) s (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))))) |
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (+.f64 c_p c_n)) (*.f64 s s) (*.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) s (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) |
(* -1 (log 2)) |
(neg.f64 (log.f64 #s(literal 2 binary64))) |
(- (* 1/2 s) (log 2)) |
(-.f64 (*.f64 s #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(- (* s (+ 1/2 (* -1/8 s))) (log 2)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal 1/2 binary64)) s) (log.f64 #s(literal 2 binary64))) |
(- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 s s) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s) (log.f64 #s(literal 2 binary64))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1/2 s)) |
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* s (- (* 1/8 s) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 s s) #s(literal 1/8 binary64)) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 2 binary64))) |
(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(+ (* 1/2 (/ (* c_p (* s (pow 1/2 c_p))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (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 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64)))) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.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 s (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p)))) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (*.f64 (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) s (/.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_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_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)) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c_p #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (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) (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))) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 s)) |
(fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
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1/2 |
#s(literal 1/2 binary64) |
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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))))))) |
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(log 1/2) |
(log.f64 #s(literal 1/2 binary64)) |
(+ (log 1/2) (* -1/2 s)) |
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* -1/8 s) 1/2))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) |
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(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
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(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
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(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)) |
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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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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 s)) |
(-.f64 #s(literal 2 binary64) s) |
(+ 2 (* s (- (* 1/2 s) 1))) |
(fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)) |
(pow 1/2 c_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 c_p #s(literal 1/2 binary64) (*.f64 s (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 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)) |
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(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)) |
(* -1 (log (+ 1 (exp (neg s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(* -1 (log (+ 1 (exp (neg s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log (+ 1 (exp (neg s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
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1 |
#s(literal 1 binary64) |
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1 |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* 1/2 (/ (* c_n (* t (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))) (pow 1/2 c_n))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
(fma.f64 (*.f64 (*.f64 c_n t) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))) #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (* (pow c_n 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))) (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (* -1/2 (/ (* c_n (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow 1/2 c_n))))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))) |
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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 (*.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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 t t) #s(literal -1/4 binary64)) t #s(literal 1/2 binary64)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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1/2 |
#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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 t t) #s(literal -1/4 binary64)) t #s(literal 1/2 binary64)) |
(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) t) c_p) #s(literal 1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 t (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) t (pow.f64 #s(literal 1/2 binary64) c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 t (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 c_p c_p))) (fma.f64 (*.f64 c_p c_p) #s(literal 1/8 binary64) (*.f64 c_p #s(literal -1/8 binary64))))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) t (pow.f64 #s(literal 1/2 binary64) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)) |
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(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2)) |
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(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2)) |
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(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2)) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
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(- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) |
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) |
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(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
| 4 044× | lower-*.f32 |
| 4 034× | lower-*.f64 |
| 2 728× | lower-/.f32 |
| 2 714× | lower-/.f64 |
| 2 452× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 478 |
| 0 | 133 | 461 |
| 1 | 506 | 437 |
| 2 | 3104 | 421 |
| 0 | 8741 | 413 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) |
#s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) 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 (-.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 (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))))) |
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(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)))))) |
(*.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal 1 binary64)) |
#s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) |
(/.f64 (neg.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #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 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1/2 binary64)) c_p) (pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1/2 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 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) #s(literal -1 binary64)) (*.f64 #s(literal 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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) #s(literal -1 binary64)) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) c_p) (pow.f64 (pow.f64 (neg.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) #s(literal -1 binary64)) c_p)) |
(*.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 #s(literal -1 binary64) c_p)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 #s(literal -1 binary64) c_p))) |
(pow.f64 (exp.f64 c_p) (neg.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))))) |
(pow.f64 (*.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -2 binary64)) c_p) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1 binary64)) (*.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -1 binary64)) c_p) |
(pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) 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 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) 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 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.f64 #s(literal -1 binary64) c_p)) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)))) (*.f64 c_p #s(literal 1/2 binary64)) (*.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)))) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)))) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) #s(literal -2 binary64))) (*.f64 c_p #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)) (*.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 (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)))) (*.f64 #s(literal 2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)))) (fma.f64 c_p #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) (*.f64 #s(literal -1 binary64) c_p))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s)))) c_p)) |
Compiled 74 917 to 4 261 computations (94.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 591 | 11 | 1 602 |
| Fresh | 1 | 0 | 1 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 597 | 11 | 1 608 |
| Status | Accuracy | Program |
|---|---|---|
| 89.0% | (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| ▶ | 89.0% | (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| ▶ | 97.2% | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
| ▶ | 90.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
| 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))) (/.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))) | |
| ▶ | 93.8% | #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 (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
| 92.6% | #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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 88.8% | #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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 92.2% | #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 #s(approx (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) #s(literal 1 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))) | |
| 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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) | |
| ▶ | 95.4% | #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)) #s(literal 1 binary64))) |
Compiled 416 to 364 computations (12.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(literal 1/2 binary64) c_p) | |
| cost-diff | 0 | (pow.f64 #s(literal 1/2 binary64) c_n) | |
| cost-diff | 0 | (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) | |
| cost-diff | 0 | #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) | |
| cost-diff | 0 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) | |
| cost-diff | 0 | (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
| 2 000× | lower-fma.f64 |
| 2 000× | lower-fma.f32 |
| 608× | lower-*.f32 |
| 602× | lower-*.f64 |
| 528× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 757 |
| 0 | 126 | 757 |
| 1 | 192 | 755 |
| 2 | 286 | 745 |
| 3 | 457 | 745 |
| 4 | 672 | 745 |
| 5 | 974 | 745 |
| 6 | 1534 | 745 |
| 7 | 1915 | 745 |
| 8 | 2188 | 745 |
| 9 | 2213 | 745 |
| 10 | 2213 | 745 |
| 0 | 2213 | 735 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(literal 1 binary64) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
c_n |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 #s(literal 1/2 binary64) c_p) |
c_p |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n)) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(literal 1 binary64) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
c_n |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 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 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n))) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n)) |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n) |
(pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n)) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 #s(literal 1/2 binary64) c_p) |
c_p |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24218199386619269 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) | |
| accuracy | 0.49792841548422034 | #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| accuracy | 2.9140913855298916 | (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) | |
| accuracy | 4.414735601907047 | #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.24218199386619269 | (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) | |
| accuracy | 0.7464357954379017 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) | |
| accuracy | 1.214857505254126 | (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) | |
| accuracy | 2.752645572667184 | #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) | |
| accuracy | 0.23194493088262982 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| accuracy | 0.7265459815973854 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) | |
| accuracy | 1.699233880275765 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) | |
| accuracy | 4.414735601907047 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.23194493088262982 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg 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 | 0.7464357954379017 | #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) | |
| accuracy | 0.2616614866530854 | (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) | |
| accuracy | 0.4959957666995539 | (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 23.878958817849902 | #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) | |
| accuracy | 53.32491696680018 | (-.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))))) |
| 343.0ms | 191× | 1 | valid |
| 104.0ms | 33× | 2 | valid |
| 46.0ms | 24× | 0 | valid |
| 32.0ms | 4× | 4 | exit |
| 3.0ms | 4× | 1 | exit |
Compiled 627 to 63 computations (90% saved)
adjust: 96.0ms (20.1% of total)ival-log1p: 94.0ms (19.6% of total)ival-pow: 92.0ms (19.2% of total)ival-mult: 62.0ms (13% of total)ival-exp: 61.0ms (12.7% of total)ival-div: 28.0ms (5.9% of total)ival-sub: 26.0ms (5.4% of total)ival-add: 12.0ms (2.5% of total)ival-neg: 7.0ms (1.5% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) (patch #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) (patch (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) #<representation binary64>) () ()) |
#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) (patch #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (patch (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (patch (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (patch (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (patch #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (patch (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(literal 1/2 binary64) c_n) (patch (pow.f64 #s(literal 1/2 binary64) c_n) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(literal 1/2 binary64) c_p) (patch (pow.f64 #s(literal 1/2 binary64) c_p) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) (patch (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) (patch (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (patch (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) #<representation binary64>) () ()) |
| Outputs |
|---|
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 186.0ms | c_n | @ | inf | ((exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg s)) 1))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 119.0ms | c_p | @ | inf | ((exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg s)) 1))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 95.0ms | t | @ | -inf | ((exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg s)) 1))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 79.0ms | s | @ | inf | ((exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg s)) 1))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 77.0ms | s | @ | -inf | ((exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (* (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (- (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (- 1 (/ 1 (+ (exp (neg s)) 1))) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (log (+ 1 (/ -1 (+ (exp (neg s)) 1)))) (log (+ 1 (/ -1 (+ (exp (neg t)) 1)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
| 1× | egg-herbie |
| 11 708× | lower-fma.f64 |
| 11 708× | lower-fma.f32 |
| 7 534× | lower-*.f64 |
| 7 534× | lower-*.f32 |
| 5 866× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 969 | 32681 |
| 1 | 3033 | 30525 |
| 0 | 8449 | 28080 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* 1/6 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 3)) (* (+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2))))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p))))))))))) |
(* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) |
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* s (+ (* -1/2 c_n) (* -1/8 (* c_n s))))) |
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(pow 1/2 c_p) |
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1/2 |
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(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
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(pow 1/2 c_n) |
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1/2 |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(log 1/2) |
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1 |
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1 |
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1 |
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1 |
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1 |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
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(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) |
(pow 1/2 c_n) |
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(+ (* c_p (+ (* 1/2 (* c_p (* (pow (log 1/2) 2) (pow 1/2 c_n)))) (* (log 1/2) (pow 1/2 c_n)))) (pow 1/2 c_n)) |
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1 |
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1 |
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(+ 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))))))) |
1 |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
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(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) |
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
(+ (* -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))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
(+ (* -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))) |
(log 1/2) |
(+ (log 1/2) (* -1/2 t)) |
(+ (log 1/2) (* t (- (* -1/8 t) 1/2))) |
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 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_n) |
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 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 (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(log (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
(log (- 1 (/ 1 (+ 1 (exp (neg t)))))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) |
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
| Outputs |
|---|
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) |
(exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) |
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(pow 1/2 c_p) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 s)) |
(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
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(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
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(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n)) |
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(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 s (fma.f64 #s(literal 1/16 binary64) (*.f64 c_n c_n) (*.f64 (pow.f64 c_n #s(literal 3 binary64)) #s(literal -1/48 binary64))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) s (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64))) s (pow.f64 #s(literal 1/2 binary64) c_n)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 s)) |
(fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 s s) #s(literal -1/4 binary64)) s #s(literal 1/2 binary64)) |
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4))) |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) |
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(log 1/2) |
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1 |
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1 |
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1 |
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1 |
#s(literal 1 binary64) |
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(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n))))) |
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(* -1 (* c_n (+ (* -1 (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* -1 (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n))))) |
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1 |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
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1 |
#s(literal 1 binary64) |
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(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s))))))) |
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))) |
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p) |
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s)))))) |
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n)) |
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(log 1/2) |
(log.f64 #s(literal 1/2 binary64)) |
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(fma.f64 #s(literal -1/2 binary64) t (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (* t (- (* -1/8 t) 1/2))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) t #s(literal -1/2 binary64)) t (log.f64 #s(literal 1/2 binary64))) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(+ (* 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)))) |
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(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) t) c_n) #s(literal -1/2 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) (*.f64 #s(literal -1/2 binary64) c_n))) t (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
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(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
| 3 754× | lower-*.f32 |
| 3 748× | lower-*.f64 |
| 2 828× | lower-fma.f64 |
| 2 828× | lower-fma.f32 |
| 2 362× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 609 |
| 0 | 126 | 601 |
| 1 | 526 | 590 |
| 2 | 3448 | 590 |
| 0 | 9955 | 511 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)) |
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) |
(-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
(/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n))) |
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n)) |
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) c_n) |
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(log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))) |
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#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))))) (neg.f64 (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)))) |
(/.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) |
(/.f64 (neg.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) c_n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal -1 binary64)) c_n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) c_n) (pow.f64 (pow.f64 (fma.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64)) c_n)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 c_n) (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64)) c_n) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64)) (*.f64 c_n #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 #s(literal 2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 c_n #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 (log1p.f64 (exp.f64 (neg.f64 t)))))) #s(literal 2 binary64))) (*.f64 c_n #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (*.f64 #s(literal 2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (fma.f64 c_n #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) |
Compiled 41 587 to 2 651 computations (93.6% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 068 | 4 | 1 072 |
| Fresh | 2 | 4 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 074 | 9 | 1 083 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.3% | (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
| ▶ | 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))) (/.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))) |
| 90.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| ▶ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
| ▶ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
| 88.8% | #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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 92.2% | #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 #s(approx (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) #s(literal 1 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))) | |
| ▶ | 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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) |
| ✓ | 95.4% | #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)) #s(literal 1 binary64))) |
Compiled 243 to 243 computations (0% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) | |
| cost-diff | 0 | (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) | |
| cost-diff | 0 | (pow.f64 #s(literal 1/2 binary64) c_p) | |
| cost-diff | 0 | (pow.f64 #s(literal 1/2 binary64) c_n) | |
| cost-diff | 0 | (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) | |
| cost-diff | 0 | #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) | |
| cost-diff | 0 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) | |
| cost-diff | 64 | (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
| 412× | lower-fma.f32 |
| 410× | lower-fma.f64 |
| 376× | lower-*.f32 |
| 366× | lower-*.f64 |
| 220× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 780 |
| 0 | 113 | 777 |
| 1 | 177 | 732 |
| 2 | 259 | 732 |
| 3 | 340 | 728 |
| 4 | 408 | 728 |
| 5 | 480 | 728 |
| 6 | 578 | 728 |
| 7 | 660 | 728 |
| 8 | 742 | 728 |
| 9 | 794 | 728 |
| 10 | 814 | 728 |
| 11 | 818 | 728 |
| 0 | 818 | 695 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(neg.f64 c_n) |
c_n |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) |
#s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 #s(literal 1/2 binary64) c_p) |
c_p |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
s |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| 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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(exp.f64 (neg.f64 t)) |
(neg.f64 t) |
t |
(neg.f64 c_n) |
c_n |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) |
#s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
c_p |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
#s(literal 1/2 binary64) |
c_n |
(pow.f64 #s(literal 1/2 binary64) c_p) |
c_p |
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) |
(*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (*.f64 (fma.f64 (*.f64 c_p s) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (*.f64 (fma.f64 (*.f64 c_p s) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (*.f64 (fma.f64 (*.f64 c_p s) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (fma.f64 (*.f64 c_p s) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
#s(literal 1/2 binary64) |
c_p |
s |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(/.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) |
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 s)) |
(neg.f64 s) |
s |
c_n |
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25552451926449526 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) | |
| accuracy | 0.7464357954379017 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) | |
| accuracy | 1.9531346271665675 | (/.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 | 2.090095722117119 | #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) | |
| accuracy | 0.7777454729816661 | #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| accuracy | 1.2006729063474006 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| accuracy | 1.699233880275765 | (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) | |
| accuracy | 4.414735601907047 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.740107496096333 | #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) | |
| accuracy | 3.4559624055505314 | #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) | |
| accuracy | 3.652368507442333 | (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) | |
| accuracy | 4.414735601907047 | #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) | |
| accuracy | 1.2006729063474006 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| accuracy | 1.699233880275765 | (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) | |
| accuracy | 3.6422944185917676 | #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) | |
| accuracy | 4.414735601907047 | #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) | |
| accuracy | 0.49197843986067213 | (log1p.f64 (exp.f64 (neg.f64 t))) | |
| accuracy | 0.7302577683981903 | (log1p.f64 (exp.f64 (neg.f64 s))) | |
| accuracy | 0.7464357954379017 | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) | |
| accuracy | 1.9609471271665675 | (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
| 115.0ms | 245× | 0 | valid |
| 23.0ms | 5× | 2 | valid |
| 19.0ms | 1× | 3 | valid |
| 6.0ms | 4× | 1 | exit |
| 1.0ms | 1× | 1 | valid |
Compiled 625 to 58 computations (90.7% saved)
ival-pow: 58.0ms (45.8% of total)ival-mult: 13.0ms (10.3% of total)ival-div: 11.0ms (8.7% of total)ival-exp: 10.0ms (7.9% of total)ival-neg: 9.0ms (7.1% of total)ival-log1p: 7.0ms (5.5% of total)ival-add: 6.0ms (4.7% of total)ival-sub: 5.0ms (3.9% of total)ival-expm1: 5.0ms (3.9% of total)adjust: 3.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (patch (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) (patch (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) (patch (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (patch (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) (patch (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) (patch #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (patch #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (patch (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(literal 1/2 binary64) c_n) (patch (pow.f64 #s(literal 1/2 binary64) c_n) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(literal 1/2 binary64) c_p) (patch (pow.f64 #s(literal 1/2 binary64) c_p) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) (patch (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (patch (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (patch #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (patch #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (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))) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (patch (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 (neg.f64 s))) (patch (log1p.f64 (exp.f64 (neg.f64 s))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 (neg.f64 t))) (patch (log1p.f64 (exp.f64 (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) (patch #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 115.0ms | s | @ | inf | ((- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (neg c_n)) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ (exp (neg t)) 1)))) |
| 84.0ms | t | @ | inf | ((- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (neg c_n)) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ (exp (neg t)) 1)))) |
| 74.0ms | s | @ | -inf | ((- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (neg c_n)) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ (exp (neg t)) 1)))) |
| 72.0ms | t | @ | -inf | ((- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (neg c_n)) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ (exp (neg t)) 1)))) |
| 51.0ms | c_p | @ | -inf | ((- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (pow (- 1 (exp (neg (log (+ 1 (exp (neg t))))))) (neg c_n)) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow 1/2 c_n) (pow 1/2 c_p) (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg s)) 1))) (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (log (+ 1 (exp (neg s)))) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) 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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (- 1 (/ 1 (+ (exp (neg t)) 1)))) |
| 1× | egg-herbie |
| 13 962× | lower-fma.f64 |
| 13 962× | lower-fma.f32 |
| 9 042× | lower-*.f64 |
| 9 042× | lower-*.f32 |
| 5 146× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 970 | 34682 |
| 1 | 2972 | 31283 |
| 0 | 9845 | 27845 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (neg (log 2)))) |
(- (+ 1 (* -1/2 (* s (exp (neg (log 2)))))) (exp (neg (log 2)))) |
(- (+ 1 (* s (- (* 1/24 (* (pow s 2) (exp (neg (log 2))))) (* 1/2 (exp (neg (log 2))))))) (exp (neg (log 2)))) |
(- (+ 1 (* s (- (* (pow s 2) (- (* -1/240 (* (pow s 2) (exp (neg (log 2))))) (* -1/24 (exp (neg (log 2)))))) (* 1/2 (exp (neg (log 2))))))) (exp (neg (log 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))) |
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(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (neg t))))))))))) (pow (- 1 (exp (neg (log 2)))) c_n)) |
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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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(pow 1/2 c_p) |
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1/2 |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(/ (pow 1/2 c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
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(pow 1/2 c_p) |
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1/2 |
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(/ (pow 1/2 c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
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(pow 1/2 c_n) |
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(log 2) |
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(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
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1 |
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1 |
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1 |
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1 |
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1 |
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1 |
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(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log 2)))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p)) |
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(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 c_n) (pow 1/2 c_p))) |
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(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 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 2) |
(+ (log 2) (* -1/2 t)) |
(+ (log 2) (* t (- (* 1/8 t) 1/2))) |
(+ (log 2) (* t (- (* t (+ 1/8 (* -1/192 (pow t 2)))) 1/2))) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(pow 1/2 c_p) |
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p)) |
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow 1/2 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_n) |
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
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 (exp (neg (log (+ 1 (exp (neg t))))))) |
(- 1 (exp (neg (log (+ 1 (exp (neg t))))))) |
(- 1 (exp (neg (log (+ 1 (exp (neg t))))))) |
(- 1 (exp (neg (log (+ 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 (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (neg t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (neg t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (neg t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (neg t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(log (+ 1 (exp (neg t)))) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (/ 1 (+ 1 (exp (neg t))))) |
(- 1 (exp (neg (log (+ 1 (exp (* -1 t))))))) |
(- 1 (exp (neg (log (+ 1 (exp (* -1 t))))))) |
(- 1 (exp (neg (log (+ 1 (exp (* -1 t))))))) |
(- 1 (exp (neg (log (+ 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 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (* -1 t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (* -1 t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (* -1 t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(* (exp (* -1 (* c_n (log (- 1 (exp (neg (log (+ 1 (exp (* -1 t))))))))))) (pow (- 1 (exp (neg (log (+ 1 (exp (neg s))))))) c_n)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(log (+ 1 (exp (* -1 t)))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
| Outputs |
|---|
(- 1 (exp (neg (log 2)))) |
#s(literal 1/2 binary64) |
(- (+ 1 (* -1/2 (* s (exp (neg (log 2)))))) (exp (neg (log 2)))) |
(fma.f64 #s(literal -1/4 binary64) s #s(literal 1/2 binary64)) |
(- (+ 1 (* s (- (* 1/24 (* (pow s 2) (exp (neg (log 2))))) (* 1/2 (exp (neg (log 2))))))) (exp (neg (log 2)))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 s s) #s(literal -1/4 binary64)) s #s(literal 1/2 binary64)) |
(- (+ 1 (* s (- (* (pow s 2) (- (* -1/240 (* (pow s 2) (exp (neg (log 2))))) (* -1/24 (exp (neg (log 2)))))) (* 1/2 (exp (neg (log 2))))))) (exp (neg (log 2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 s s) #s(literal 1/48 binary64)) (*.f64 s s) #s(literal -1/4 binary64)) s #s(literal 1/2 binary64)) |
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) |
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p)) (*.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)))) s (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (*.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)))) |
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 s)) |
(fma.f64 #s(literal 1/4 binary64) s #s(literal 1/2 binary64)) |
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(* (pow 1/2 c_n) (pow 1/2 c_p)) |
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(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)) |
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(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) |
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1/2 |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(pow 1/2 c_p) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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(pow.f64 #s(literal 1/2 binary64) c_p) |
(* 1/2 (* c_p (* s (pow 1/2 c_p)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) #s(literal 1/2 binary64)) c_p) |
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(* -1 (* c_p (+ (* -1 (/ (pow 1/2 c_p) c_p)) (* -1/2 (* s (pow 1/2 c_p)))))) |
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(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg s)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p) |
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(log 2) |
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(pow 1/2 c_p) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
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(pow 1/2 c_n) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n)) |
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(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n)) |
(fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)) (*.f64 #s(literal -1/2 binary64) c_n))) t (pow.f64 #s(literal 1/2 binary64) c_n)) |
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 #s(literal 1/16 binary64) (*.f64 c_n c_n) (*.f64 (pow.f64 c_n #s(literal 3 binary64)) #s(literal -1/48 binary64))) (fma.f64 (*.f64 c_n c_n) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) c_n)))) t (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_n) #s(literal -1/2 binary64))) t (pow.f64 #s(literal 1/2 binary64) c_n)) |
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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (*.f64 t t) #s(literal -1/4 binary64)) t #s(literal 1/2 binary64)) |
(- 1 (exp (neg (log (+ 1 (exp (neg t))))))) |
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(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) |
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(log (+ 1 (exp (* -1 t)))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p) |
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 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))) |
(*.f64 (/.f64 (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 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 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))) |
(*.f64 (/.f64 (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 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 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))) |
(*.f64 (/.f64 (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 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 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))) |
(*.f64 (/.f64 (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 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) c_p))) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) |
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(- 1 (/ 1 (+ 1 (exp (* -1 t))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
| 4 378× | lower-*.f32 |
| 4 368× | lower-*.f64 |
| 3 954× | lower-/.f32 |
| 3 944× | lower-/.f64 |
| 2 194× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 625 |
| 0 | 113 | 598 |
| 1 | 424 | 570 |
| 2 | 2282 | 570 |
| 0 | 8435 | 560 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) |
#s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) |
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) |
(pow.f64 #s(literal 1/2 binary64) c_n) |
(pow.f64 #s(literal 1/2 binary64) c_p) |
(fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p)) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
#s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) |
(log1p.f64 (exp.f64 (neg.f64 s))) |
(log1p.f64 (exp.f64 (neg.f64 t))) |
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) |
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (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))) (pow.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (*.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)))) |
(/.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (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 -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.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 -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 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (+.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))) (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) #s(literal -3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #s(literal 1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(literal 1 binary64)) (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) (neg.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))))) (neg.f64 (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p)))) (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))) (*.f64 (neg.f64 #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_n c_p))))) #s(literal -1 binary64))) |
#s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)) |
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) |
(exp.f64 (log.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)))) |
Compiled 45 798 to 3 376 computations (92.6% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 267 | 6 | 1 273 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 271 | 11 | 1 282 |
| Status | Accuracy | Program |
|---|---|---|
| 87.7% | (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 #s(approx (pow 1/2 c_n) (fma.f64 (log.f64 #s(literal 1/2 binary64)) c_n #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) | |
| 93.4% | (/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) #s(approx (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow.f64 #s(literal 1/2 binary64) c_n))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) | |
| ✓ | 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))) (/.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))) |
| 90.5% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| ✓ | 90.7% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
| 89.0% | #s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(approx (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) c_p #s(literal 1 binary64)))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) 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))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(approx (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) #s(literal 1/2 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p)) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) | |
| 88.8% | #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 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) | |
| 92.2% | #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 #s(approx (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) #s(literal 1 binary64)) (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))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) (neg.f64 c_n)))) | |
| ✓ | 95.4% | #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)) #s(literal 1 binary64))) |
Compiled 731 to 312 computations (57.3% saved)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) #s(literal 1 binary64)) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) #s(approx (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow.f64 #s(literal 1/2 binary64) c_n))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(approx (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) c_p #s(literal 1 binary64)))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 #s(approx (pow 1/2 c_n) (fma.f64 (log.f64 #s(literal 1/2 binary64)) c_n #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) #s(literal 1 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(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(approx (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) #s(literal 1/2 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p)) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 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))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) (neg.f64 c_n)))) |
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp (neg s))) (-.f64 #s(literal 2 binary64) s))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(/.f64 (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (*.f64 (fma.f64 (*.f64 c_p #s(literal 1/2 binary64)) s #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) (neg.f64 c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
13 calls:
| 9.0ms | s |
| 8.0ms | c_n |
| 8.0ms | (exp.f64 (neg.f64 s)) |
| 8.0ms | t |
| 8.0ms | c_p |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | c_p |
| 97.2% | 1 | c_n |
| 97.2% | 1 | t |
| 97.2% | 1 | s |
| 97.2% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 97.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 97.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 97.2% | 1 | (exp.f64 (neg.f64 s)) |
| 97.2% | 1 | (neg.f64 s) |
| 97.2% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 97.2% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 97.2% | 1 | (exp.f64 (neg.f64 t)) |
| 97.2% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
Total -7.5b remaining (-256.4%)
Threshold costs -7.5b (-256.4%)
| Inputs |
|---|
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) #s(literal 1 binary64)) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) #s(approx (* (pow 1/2 c_n) (pow 1/2 c_p)) (pow.f64 #s(literal 1/2 binary64) c_n))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(approx (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) c_p #s(literal 1 binary64)))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) c_p)) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 #s(approx (pow 1/2 c_n) (fma.f64 (log.f64 #s(literal 1/2 binary64)) c_n #s(literal 1 binary64))) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #s(approx (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) #s(literal 1 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(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(approx (+ (* (* (* (pow 1/2 c_p) c_p) 1/2) s) (pow 1/2 c_p)) (*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) #s(literal 1/2 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p)) c_p))) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 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))) |
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p))) (*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (pow.f64 #s(literal 1/2 binary64) c_p))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (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) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) (neg.f64 c_n)))) |
| 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:
| 43.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 27.0ms | c_n |
| 6.0ms | (neg.f64 t) |
| 6.0ms | c_p |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | c_p |
| 95.4% | 1 | c_n |
| 95.4% | 1 | t |
| 95.4% | 1 | s |
| 95.4% | 1 | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))) |
| 95.4% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) |
| 95.4% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) |
| 95.4% | 1 | (exp.f64 (neg.f64 s)) |
| 95.4% | 1 | (neg.f64 s) |
| 95.4% | 1 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) |
| 95.4% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) |
| 95.4% | 1 | (exp.f64 (neg.f64 t)) |
| 95.4% | 1 | (neg.f64 t) |
Compiled 81 to 94 computations (-16% saved)
| 1× | egg-herbie |
| 12× | +-commutative-binary64-+.f64 |
| 8× | *-commutative-binary64-*.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 127 |
| 1 | 75 | 127 |
| 2 | 82 | 127 |
| 3 | 86 | 127 |
| 4 | 87 | 127 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))) |
| Outputs |
|---|
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))) |
#s(approx (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg 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))) |
| 13 604× | lower-fma.f64 |
| 13 604× | lower-fma.f32 |
| 11 654× | lower-fma.f64 |
| 11 654× | lower-fma.f32 |
| 7 388× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 782 | 28743 |
| 1 | 2363 | 26557 |
| 2 | 7799 | 26540 |
| 0 | 8112 | 24740 |
| 0 | 22 | 103 |
| 0 | 39 | 103 |
| 1 | 151 | 103 |
| 2 | 1022 | 98 |
| 0 | 8612 | 86 |
| 0 | 413 | 6854 |
| 1 | 1288 | 6276 |
| 2 | 4718 | 5743 |
| 0 | 8730 | 5438 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 45 to 48 computations (-6.7% saved)
Compiled 184 to 128 computations (30.4% saved)
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