
Time bar (total: 13.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 2 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 4 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 5 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 6 |
| 51.6% | 25% | 23.4% | 0.1% | 0% | 51.5% | 0% | 7 |
| 52.5% | 25% | 22.6% | 0.1% | 0% | 52.3% | 0% | 8 |
| 53.8% | 25% | 21.5% | 0.1% | 0% | 53.5% | 0% | 9 |
| 54.5% | 25% | 20.9% | 0.1% | 0% | 54% | 0% | 10 |
| 55.3% | 25% | 20.2% | 0.1% | 0% | 54.7% | 0% | 11 |
| 55.7% | 25% | 19.9% | 0.1% | 0% | 55.1% | 0% | 12 |
Compiled 18 to 15 computations (16.7% saved)
| 1.2s | 8 256× | 0 | valid |
| 550.0ms | 2 952× | 1 | invalid |
| 160.0ms | 353× | 2 | invalid |
| 29.0ms | 352× | 0 | invalid |
| 22.0ms | 173× | 0 | exit |
ival-pow: 383.0ms (27.2% of total)ival-mult: 361.0ms (25.6% of total)ival-div: 337.0ms (23.9% of total)ival-sqrt: 104.0ms (7.4% of total)ival-sub: 89.0ms (6.3% of total)ival-pi: 58.0ms (4.1% of total)adjust: 51.0ms (3.6% of total)...in/eval/compile.rkt:110:19: 12.0ms (0.9% of total)ival-true: 9.0ms (0.6% of total)ival-assert: 5.0ms (0.4% of total)| 1× | egg-herbie |
| 465× | fma-define |
| 240× | fmm-def |
| 123× | associate-*r* |
| 80× | associate-*l* |
| 74× | sub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 438 |
| 1 | 96 | 380 |
| 2 | 211 | 380 |
| 3 | 410 | 364 |
| 4 | 686 | 352 |
| 5 | 1171 | 352 |
| 6 | 1433 | 352 |
| 7 | 1696 | 352 |
| 8 | 2015 | 352 |
| 9 | 2058 | 352 |
| 10 | 2086 | 352 |
| 11 | 2097 | 352 |
| 12 | 2099 | 352 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 k))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 k)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 k))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 k)) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 n)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k) (/.f64 (-.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 k))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 k)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 k))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 k)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (/.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (sqrt.f64 (neg.f64 k))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 k))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (neg.f64 k))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (neg.f64 k))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal -2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 k))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 k)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 k))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 k)) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (/.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (neg.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (neg.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (neg.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (neg.f64 k)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (neg.f64 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 k))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 k))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal -2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 n)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k) (/.f64 (-.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 n)) (pow.f64 (*.f64 k (*.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 #s(literal 1/2 binary64) (/.f64 n #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 k (*.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 #s(literal 1/2 binary64) (/.f64 n #s(literal 2 binary64)))) (sqrt.f64 n)) |
(/.f64 (pow.f64 (*.f64 k (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (/.f64 n #s(literal -2 binary64)))) (sqrt.f64 n)) |
(/.f64 (pow.f64 (*.f64 k (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))) (sqrt.f64 n)) |
(/.f64 (pow.f64 (*.f64 k (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 n)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 4 | 62 | (2.8149429663374335e-114 2.0771778459346807e-272) | 0 | - | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | k |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 0 | 0 | - | 0 | - | (sqrt.f64 k) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) k) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (PI.f64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) | sensitivity | 66 | 21 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 4 | 0 |
| - | 62 | 190 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 4 | 0 | 0 |
| - | 62 | 21 | 169 |
| number | freq |
|---|---|
| 0 | 190 |
| 1 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 512× | 0 | valid |
Compiled 148 to 56 computations (62.2% saved)
ival-pow: 11.0ms (29.7% of total)ival-mult: 9.0ms (24.3% of total)ival-div: 7.0ms (18.9% of total)ival-sub: 4.0ms (10.8% of total)ival-sqrt: 4.0ms (10.8% of total)ival-pi: 2.0ms (5.4% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 59 to 23 computations (61% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
| ▶ | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
Compiled 34 to 25 computations (26.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 k #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) n) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| ✓ | cost-diff | 0 | (sqrt.f64 k) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) |
| 16× | sub-neg |
| 15× | fma-define |
| 13× | *-commutative |
| 8× | +-commutative |
| 6× | associate-*r* |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 359 |
| 1 | 45 | 347 |
| 2 | 65 | 347 |
| 3 | 86 | 347 |
| 4 | 106 | 323 |
| 5 | 129 | 323 |
| 6 | 156 | 323 |
| 7 | 184 | 323 |
| 8 | 192 | 323 |
| 9 | 193 | 323 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 k)) |
#s(literal 1 binary64) |
(sqrt.f64 k) |
k |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(PI.f64) |
n |
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) k) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 k #s(literal 2 binary64)) |
k |
(sqrt.f64 k) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 k)) |
#s(literal 1 binary64) |
(sqrt.f64 k) |
k |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(PI.f64) |
n |
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) k) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 k #s(literal 2 binary64)) |
k |
(sqrt.f64 k) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
| ✓ | accuracy | 99.7% | (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) n) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) |
| 45.0ms | 256× | 0 | valid |
Compiled 104 to 22 computations (78.8% saved)
ival-pow: 13.0ms (40% of total)ival-mult: 7.0ms (21.5% of total)ival-div: 6.0ms (18.4% of total)ival-sub: 2.0ms (6.1% of total)ival-sqrt: 2.0ms (6.1% of total)ival-pi: 1.0ms (3.1% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 k))> |
#<alt (sqrt.f64 k)> |
#<alt (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)> |
#<alt (*.f64 #s(literal 2 binary64) (PI.f64))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))> |
#<alt (*.f64 (PI.f64) n)> |
#<alt (PI.f64)> |
#<alt (/.f64 k #s(literal 2 binary64))> |
#<alt (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))> |
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))))> |
#<alt (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k))> |
| Outputs |
|---|
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 n (PI.f64))> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (*.f64 #s(literal 1/2 binary64) k)> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 k (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 k (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k)))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k)))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k)))))> |
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (/.f64 (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (/.f64 (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 k (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 k (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 k (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (/.f64 (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (/.f64 (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 k (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | n | @ | 0 | (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) |
| 32.0ms | n | @ | inf | (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) |
| 24.0ms | n | @ | -inf | (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) |
| 1.0ms | k | @ | 0 | (/ 1 (sqrt k)) |
| 1.0ms | k | @ | 0 | (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)) |
| 1× | batch-egg-rewrite |
| 1 096× | log1p-expm1-u |
| 523× | expm1-log1p-u |
| 292× | prod-diff |
| 148× | add-exp-log |
| 148× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 274 |
| 1 | 427 | 270 |
| 2 | 4798 | 270 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (sqrt.f64 k)) |
(sqrt.f64 k) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 (PI.f64) n) |
(PI.f64) |
(/.f64 k #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (pow.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k)))) |
(*.f64 (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) k))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) k)) (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 k) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 k)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(pow.f64 k #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 k) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(log.f64 (exp.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
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(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 k)) (/.f64 (pow.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 k)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (pow.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) k))) (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 k)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (sqrt.f64 k))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) k)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 718× | fma-define |
| 421× | associate-*r* |
| 353× | associate-*l* |
| 344× | exp-prod |
| 258× | distribute-lft-neg-out |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 600 | 19256 |
| 1 | 1218 | 17586 |
| 2 | 4112 | 16578 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 #s(literal 1/2 binary64) k) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))) |
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 k (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 k (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) k))))) |
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(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) k))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) k)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(*.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (sqrt.f64 k))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 k)) (/.f64 (pow.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 k)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (pow.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (pow.f64 (*.f64 (PI.f64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) k))) (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 k)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (sqrt.f64 k))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) k)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) #s(literal 1 binary64))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 k) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 k) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 k) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 k) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 n (PI.f64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
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(sqrt.f64 (*.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) #s(literal 2 binary64))) |
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(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
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(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
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(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
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(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) |
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(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) |
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(pow.f64 (*.f64 (PI.f64) n) #s(literal 1 binary64)) |
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(pow.f64 (pow.f64 (*.f64 (PI.f64) n) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
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(sqrt.f64 (pow.f64 (*.f64 (PI.f64) n) #s(literal 2 binary64))) |
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(PI.f64) |
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(PI.f64) |
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) |
(PI.f64) |
(expm1.f64 (log1p.f64 (PI.f64))) |
(log1p.f64 (expm1.f64 (PI.f64))) |
(PI.f64) |
(exp.f64 (log.f64 (PI.f64))) |
(PI.f64) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64))) |
(PI.f64) |
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(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 k #s(literal 3 binary64)))) |
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(pow.f64 (/.f64 #s(literal 2 binary64) k) #s(literal -1 binary64)) |
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(neg.f64 (*.f64 k #s(literal -1/2 binary64))) |
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(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 k #s(literal 2 binary64)))) |
(log.f64 (sqrt.f64 (exp.f64 k))) |
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 k #s(literal 1/2 binary64))))) |
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(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 k #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 k #s(literal 1/2 binary64)))) |
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(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
Compiled 9 659 to 1 552 computations (83.9% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 14 | 464 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 451 | 15 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64))) #s(literal 2 binary64)) | |
| ▶ | 82.8% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
| 99.5% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| ✓ | 99.6% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
| 97.1% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))) | |
| 80.2% | (/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 k)) | |
| 80.2% | (/.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))) | |
| ▶ | 78.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) | |
| ▶ | 99.6% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
| 80.4% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) | |
| 28.1% | (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) | |
| ▶ | 99.6% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| ▶ | 28.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
| 89.8% | (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) |
Compiled 502 to 374 computations (25.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) n) | |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
| ✓ | cost-diff | 64 | (pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) |
| ✓ | cost-diff | 192 | (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) |
| ✓ | cost-diff | 192 | (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
| ✓ | cost-diff | 0 | (*.f64 k #s(literal -1/2 binary64)) |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) n) | |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
| ✓ | cost-diff | 0 | (*.f64 n (/.f64 (PI.f64) k)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) | |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) k) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
| 1 409× | fma-define |
| 431× | times-frac |
| 430× | fmm-def |
| 399× | div-sub |
| 395× | distribute-lft-neg-out |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 895 |
| 1 | 87 | 883 |
| 2 | 122 | 883 |
| 3 | 192 | 843 |
| 4 | 350 | 843 |
| 5 | 588 | 843 |
| 6 | 904 | 843 |
| 7 | 1464 | 843 |
| 8 | 2830 | 843 |
| 9 | 3487 | 843 |
| 10 | 4171 | 843 |
| 11 | 4348 | 843 |
| 12 | 4575 | 843 |
| 13 | 4880 | 843 |
| 14 | 5443 | 843 |
| 15 | 6095 | 843 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(/.f64 #s(literal 1 binary64) k) |
#s(literal 1 binary64) |
k |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(PI.f64) |
n |
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) k) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (/.f64 (PI.f64) k)) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 k #s(literal -1/2 binary64)) |
k |
#s(literal -1/2 binary64) |
(pow.f64 k #s(literal -1/2 binary64)) |
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 n (PI.f64)) |
n |
(PI.f64) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) k) |
k |
(sqrt.f64 k) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 k #s(literal 2 binary64)) |
k |
(pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 k #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(/.f64 #s(literal 1 binary64) k) |
#s(literal 1 binary64) |
k |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 #s(literal 2 binary64) (PI.f64)) |
#s(literal 2 binary64) |
(PI.f64) |
n |
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) k) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 k #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 k #s(literal -1/2 binary64)) |
k |
#s(literal -1/2 binary64) |
(pow.f64 k #s(literal -1/2 binary64)) |
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))) |
(*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) |
(log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) |
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
#s(literal 2 binary64) |
(*.f64 n (PI.f64)) |
(*.f64 (PI.f64) n) |
n |
(PI.f64) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)) |
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) k) |
(*.f64 k #s(literal 1/2 binary64)) |
k |
(sqrt.f64 k) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 k #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 k #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 k #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 k #s(literal 3/2 binary64)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64)) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 k #s(literal 2 binary64)) |
(*.f64 k #s(literal 1/2 binary64)) |
k |
(pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 k #s(literal 3/2 binary64))) |
(pow.f64 k #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 99.7% | (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) | |
| accuracy | 99.7% | (*.f64 (PI.f64) n) | |
| accuracy | 81.5% | (PI.f64) | |
| ✓ | accuracy | 73.1% | (pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 n (PI.f64)) |
| ✓ | accuracy | 99.6% | (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) |
| ✓ | accuracy | 97.3% | (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) |
| accuracy | 81.5% | (PI.f64) | |
| ✓ | accuracy | 99.8% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.7% | (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
| accuracy | 99.7% | (*.f64 (PI.f64) n) | |
| accuracy | 81.5% | (PI.f64) | |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) k) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
| ✓ | accuracy | 83.4% | (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
| accuracy | 81.5% | (PI.f64) | |
| ✓ | accuracy | 99.8% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| accuracy | 99.7% | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) | |
| accuracy | 99.7% | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) | |
| accuracy | 81.5% | (PI.f64) |
| 92.0ms | 207× | 0 | valid |
| 28.0ms | 49× | 0 | invalid |
Compiled 266 to 46 computations (82.7% saved)
ival-mult: 31.0ms (34.1% of total)ival-pow: 25.0ms (27.5% of total)ival-div: 10.0ms (11% of total)ival-sqrt: 7.0ms (7.7% of total)...in/eval/compile.rkt:111:19: 5.0ms (5.5% of total)ival-sub: 4.0ms (4.4% of total)ival-log: 3.0ms (3.3% of total)ival-exp: 2.0ms (2.2% of total)ival-cbrt: 2.0ms (2.2% of total)ival-pi: 1.0ms (1.1% of total)ival-add: 1.0ms (1.1% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (/.f64 #s(literal 1 binary64) k)> |
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))> |
#<alt (*.f64 n (/.f64 (PI.f64) k))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))> |
#<alt (*.f64 k #s(literal -1/2 binary64))> |
#<alt (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))> |
#<alt (/.f64 (PI.f64) k)> |
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))> |
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64)))> |
#<alt (*.f64 n (PI.f64))> |
| Outputs |
|---|
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 #s(literal -1/2 binary64) k)> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1 binary64) k)))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))> |
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))> |
#<alt (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 k (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 k (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (/.f64 (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (/.f64 (+.f64 (*.f64 k (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 k (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) k)> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | k | @ | -inf | (* (sqrt (/ 1 k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2))) |
| 2.0ms | k | @ | -inf | (pow (pow k 3/2) 1/3) |
| 2.0ms | k | @ | 0 | (pow (pow k 3/2) 1/3) |
| 2.0ms | n | @ | -inf | (* 2 (* (PI) n)) |
| 1.0ms | n | @ | 0 | (* (sqrt 2) (sqrt (* n (/ (PI) k)))) |
| 1× | batch-egg-rewrite |
| 302× | associate-*r* |
| 296× | log1p-expm1-u |
| 296× | expm1-log1p-u |
| 286× | pow1 |
| 277× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 440 |
| 1 | 789 | 416 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(/.f64 #s(literal 1 binary64) k) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 k #s(literal -1/2 binary64)) |
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(/.f64 (PI.f64) k) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 n (PI.f64)) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (pow.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 k)) (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 k #s(literal -1/4 binary64)) (pow.f64 k #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64))) |
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(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 k))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 k)))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 3/2 binary64))))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (PI.f64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 n (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 n (PI.f64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 n (PI.f64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 n) (PI.f64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 n (PI.f64))))) |
(cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 n (PI.f64)))) |
(log1p.f64 (expm1.f64 (*.f64 n (PI.f64)))) |
(exp.f64 (log.f64 (*.f64 n (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 673× | associate-*r* |
| 627× | exp-prod |
| 573× | associate-*l* |
| 354× | cube-prod |
| 313× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 861 | 4294994828 |
| 1 | 1696 | 4294993770 |
| 2 | 6094 | 4294991517 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 #s(literal -1/2 binary64) k) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k))))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (PI.f64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 n (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 n (PI.f64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 n (PI.f64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 n) (PI.f64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 n (PI.f64))))) |
(cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 n (PI.f64)))) |
(log1p.f64 (expm1.f64 (*.f64 n (PI.f64)))) |
(exp.f64 (log.f64 (*.f64 n (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 k)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 k)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 k)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 k)) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(neg.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
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(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
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(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 3/2 binary64))))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (PI.f64)))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 n (PI.f64)))) |
(pow.f64 (*.f64 n (PI.f64)) #s(literal 1 binary64)) |
(*.f64 n (PI.f64)) |
(pow.f64 (cbrt.f64 (*.f64 n (PI.f64))) #s(literal 3 binary64)) |
(*.f64 n (PI.f64)) |
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 n (PI.f64)) |
(pow.f64 (sqrt.f64 (*.f64 n (PI.f64))) #s(literal 2 binary64)) |
(*.f64 n (PI.f64)) |
(sqrt.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 n (PI.f64))) |
(log.f64 (pow.f64 (exp.f64 n) (PI.f64))) |
(*.f64 n (PI.f64)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 n (PI.f64))))) |
(*.f64 n (PI.f64)) |
(cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) #s(literal 3 binary64))) |
(*.f64 n (PI.f64)) |
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(*.f64 n (PI.f64)) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(*.f64 n (PI.f64)) |
(expm1.f64 (log1p.f64 (*.f64 n (PI.f64)))) |
(log1p.f64 (expm1.f64 (*.f64 n (PI.f64)))) |
(*.f64 n (PI.f64)) |
(exp.f64 (log.f64 (*.f64 n (PI.f64)))) |
(*.f64 n (PI.f64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) #s(literal 1 binary64))) |
(*.f64 n (PI.f64)) |
Compiled 15 599 to 2 788 computations (82.1% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 802 | 10 | 812 |
| Fresh | 2 | 7 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 805 | 22 | 827 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64))) #s(literal 2 binary64)) | |
| 28.2% | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) | |
| ▶ | 99.5% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | 99.6% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
| 97.1% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))) | |
| 80.2% | (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) (sqrt.f64 k)) | |
| ✓ | 78.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
| ✓ | 99.6% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
| 80.4% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) | |
| ▶ | 28.1% | (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | 99.6% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| 28.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n (/.f64 k (PI.f64))))) | |
| 28.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 n (PI.f64)))))) | |
| ✓ | 28.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
| 28.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k))))) | |
| 26.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) | |
| 97.1% | (*.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 k)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) | |
| 89.8% | (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) | |
| 28.2% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) | |
| ▶ | 28.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
| ▶ | 26.8% | (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))) |
Compiled 584 to 455 computations (22.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (PI.f64) n) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) | |
| ✓ | cost-diff | 256 | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 6528 | (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
| ✓ | cost-diff | 0 | (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)))) |
| ✓ | cost-diff | 12800 | (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))) |
| cost-diff | 0 | (*.f64 n (PI.f64)) | |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 n (PI.f64)) k) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
| cost-diff | 0 | (PI.f64) | |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (/.f64 n k)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 (PI.f64) n) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) | |
| cost-diff | 0 | (sqrt.f64 k) |
| 11 401× | associate-+r- |
| 1 322× | sub-neg |
| 1 028× | +-commutative |
| 208× | associate-+l- |
| 141× | associate--l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 785 |
| 1 | 74 | 757 |
| 2 | 115 | 745 |
| 3 | 143 | 745 |
| 4 | 186 | 745 |
| 5 | 259 | 745 |
| 6 | 381 | 745 |
| 7 | 635 | 745 |
| 8 | 1108 | 745 |
| 9 | 1229 | 745 |
| 10 | 1259 | 745 |
| 11 | 1259 | 745 |
| 12 | 2151 | 745 |
| 13 | 2503 | 745 |
| 14 | 2647 | 745 |
| 15 | 2647 | 745 |
| 16 | 2647 | 745 |
| 17 | 5990 | 745 |
| 18 | 6236 | 745 |
| 19 | 6236 | 745 |
| 20 | 7041 | 745 |
| 21 | 7488 | 745 |
| 22 | 7488 | 745 |
| 23 | 7488 | 745 |
| 24 | 7488 | 745 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(sqrt.f64 k) |
k |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 k #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) (/.f64 n k)) |
(PI.f64) |
(/.f64 n k) |
n |
k |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (PI.f64)) |
n |
(PI.f64) |
k |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))) |
(log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
(*.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 k #s(literal 2 binary64)) |
k |
(pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 k #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 k) |
k |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 k #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 n (/.f64 (PI.f64) k)) |
(PI.f64) |
(/.f64 n k) |
n |
k |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 n (PI.f64)) |
(*.f64 (PI.f64) n) |
n |
(PI.f64) |
k |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))) |
(log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)))) |
(log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))) |
(log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
#s(literal 2 binary64) |
(*.f64 (PI.f64) n) |
(PI.f64) |
n |
(-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))) |
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 k #s(literal 2 binary64)) |
k |
(pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 k) |
(pow.f64 k #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| accuracy | 99.7% | (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) | |
| ✓ | accuracy | 99.7% | (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| accuracy | 40.2% | (PI.f64) | |
| accuracy | 99.8% | (/.f64 (PI.f64) k) | |
| ✓ | accuracy | 97.3% | (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))) |
| ✓ | accuracy | 90.0% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
| accuracy | 40.2% | (PI.f64) | |
| accuracy | 99.9% | (*.f64 n (PI.f64)) | |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 89.9% | (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
| accuracy | 40.2% | (PI.f64) | |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))) |
| ✓ | accuracy | 99.9% | (*.f64 (PI.f64) (/.f64 n k)) |
| ✓ | accuracy | 90.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
| accuracy | 40.2% | (PI.f64) | |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
| ✓ | accuracy | 99.8% | (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
| accuracy | 99.7% | (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) | |
| accuracy | 40.2% | (PI.f64) |
| 35.0ms | 109× | 0 | exit |
| 31.0ms | 98× | 0 | valid |
| 16.0ms | 49× | 0 | invalid |
Compiled 226 to 39 computations (82.7% saved)
ival-pow: 18.0ms (30.5% of total)ival-mult: 13.0ms (22.1% of total)ival-div: 10.0ms (17% of total)ival-sqrt: 8.0ms (13.6% of total)ival-expm1: 2.0ms (3.4% of total)ival-log1p: 2.0ms (3.4% of total)ival-pow2: 2.0ms (3.4% of total)ival-pi: 1.0ms (1.7% of total)ival-add: 1.0ms (1.7% of total)ival-sub: 1.0ms (1.7% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))> |
#<alt (*.f64 (PI.f64) (/.f64 n k))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)))))> |
#<alt (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))> |
#<alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)))> |
#<alt (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))> |
#<alt (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))> |
#<alt (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64)))> |
#<alt (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))> |
| Outputs |
|---|
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))> |
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (exp.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | k | @ | inf | (log (+ 1 (sqrt (* (* 2 n) (/ (PI) k))))) |
| 25.0ms | k | @ | -inf | (log (+ 1 (sqrt (* (* 2 n) (/ (PI) k))))) |
| 19.0ms | n | @ | 0 | (log (+ 1 (sqrt (* (* 2 n) (/ (PI) k))))) |
| 3.0ms | k | @ | 0 | (/ (sqrt k) (pow (* 2 (* (PI) n)) (+ 1/2 (* k -1/2)))) |
| 1.0ms | n | @ | -inf | (log (+ 1 (sqrt (* (* 2 n) (/ (PI) k))))) |
| 1× | batch-egg-rewrite |
| 279× | associate-*r* |
| 276× | log1p-expm1-u |
| 275× | expm1-log1p-u |
| 270× | pow1 |
| 266× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 444 |
| 1 | 732 | 432 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))) |
(log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
(pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
| Outputs |
|---|
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal -1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) |
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (/.f64 (PI.f64) (/.f64 k n)))) (cbrt.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 1/4 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))))) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))) |
(/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) k) |
(/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n))) |
(/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 k n)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (neg.f64 k)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) (/.f64 k n)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))))) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1 binary64)) |
(/.f64 (PI.f64) (/.f64 k n)) |
(/.f64 n (/.f64 k (PI.f64))) |
(/.f64 (*.f64 (PI.f64) n) k) |
(/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 (PI.f64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 k (*.f64 (PI.f64) n)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 k (*.f64 (PI.f64) n)))) |
(/.f64 (*.f64 n (neg.f64 (PI.f64))) (neg.f64 k)) |
(/.f64 (neg.f64 (*.f64 n (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 k))) |
(pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 k (*.f64 (PI.f64) n)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (*.f64 (PI.f64) n) (neg.f64 k))) |
(neg.f64 (/.f64 (*.f64 n (neg.f64 (PI.f64))) k)) |
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (PI.f64) (/.f64 k n))))) |
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 k n)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 n k) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 n k) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) n) #s(literal 3 binary64)) (pow.f64 k #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 k n)))) |
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (/.f64 k n)))) |
(exp.f64 (log.f64 (/.f64 (PI.f64) (/.f64 k n)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal -1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 k #s(literal 1/2 binary64))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 k))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 k #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 k #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 k)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 k)))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 k #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 561× | associate-*r* |
| 548× | associate-*l* |
| 424× | *-commutative |
| 400× | exp-prod |
| 252× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 852 | 33303 |
| 1 | 1990 | 32107 |
| 2 | 7230 | 31762 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
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(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (*.f64 n (PI.f64)) k) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
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(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k)) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k)) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 k #s(literal 3/2 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) |
Compiled 14 902 to 2 863 computations (80.8% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 770 | 16 | 786 |
| Fresh | 3 | 9 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 776 | 32 | 808 |
| Status | Accuracy | Program |
|---|---|---|
| 18.5% | (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) | |
| 28.0% | (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| 99.3% | (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64))) #s(literal 2 binary64)) | |
| 28.2% | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) | |
| ✓ | 99.5% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | 99.6% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
| 97.1% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))) | |
| ▶ | 99.6% | (/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
| 80.2% | (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) (sqrt.f64 k)) | |
| 38.0% | (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) | |
| ✓ | 78.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
| 28.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 29.4% | (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) | |
| ✓ | 99.6% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
| 80.4% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) | |
| ✓ | 28.1% | (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
| 28.1% | (*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) | |
| 38.0% | (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) | |
| ▶ | 28.0% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
| ✓ | 28.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
| ▶ | 26.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
| 97.1% | (*.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 k)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) | |
| 89.8% | (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) | |
| 28.2% | (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) | |
| 28.2% | (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) | |
| ▶ | 28.2% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
| ✓ | 28.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
| 28.8% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) | |
| 26.7% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 k n)))))) | |
| ▶ | 26.3% | (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
| 19.6% | (cbrt.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) #s(literal 3/2 binary64))) | |
| 19.6% | (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64))) |
Compiled 780 to 613 computations (21.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)) |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| ✓ | cost-diff | 6528 | (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 6528 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 6528 | (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
| cost-diff | 0 | (PI.f64) | |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
| cost-diff | 0 | (/.f64 (PI.f64) k) | |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) n) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
| ✓ | cost-diff | 0 | (*.f64 n #s(literal 2 binary64)) |
| cost-diff | 0 | (PI.f64) | |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 k #s(literal -1/2 binary64)) |
| 26× | *-commutative |
| 24× | fma-define |
| 16× | sub-neg |
| 10× | associate-*l* |
| 9× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 705 |
| 1 | 73 | 701 |
| 2 | 115 | 689 |
| 3 | 150 | 689 |
| 4 | 180 | 689 |
| 5 | 208 | 689 |
| 6 | 240 | 689 |
| 7 | 269 | 689 |
| 8 | 280 | 689 |
| 9 | 281 | 689 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(pow.f64 k #s(literal -1/2 binary64)) |
k |
#s(literal -1/2 binary64) |
(pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) |
(PI.f64) |
(*.f64 n #s(literal 2 binary64)) |
n |
#s(literal 2 binary64) |
(-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))) |
(*.f64 k #s(literal -1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
(*.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 n k)) |
(/.f64 n k) |
n |
k |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64)) |
(log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) |
#s(literal 2 binary64) |
(/.f64 (PI.f64) (/.f64 k n)) |
(PI.f64) |
(/.f64 k n) |
k |
n |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)) |
(log.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 n (/.f64 (PI.f64) k)) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(pow.f64 k #s(literal -1/2 binary64)) |
k |
#s(literal -1/2 binary64) |
(pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) |
(PI.f64) |
(*.f64 n #s(literal 2 binary64)) |
n |
#s(literal 2 binary64) |
(-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))) |
(fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(*.f64 k #s(literal -1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) (/.f64 k n)))) |
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) k) n))) |
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) k)))) |
(*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) (/.f64 k n))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) k) n)) |
(*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) k))) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 n #s(literal 2 binary64)) |
#s(literal 2 binary64) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 n k)) |
(/.f64 n k) |
n |
k |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) (/.f64 k n)))) |
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) k) n))) |
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) k)))) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64)) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))) #s(literal 1/2 binary64)) |
(*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) (/.f64 k n)))) #s(literal 1/2 binary64)) |
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) k) n))) #s(literal 1/2 binary64)) |
(*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) k)))) #s(literal 1/2 binary64)) |
(log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))) |
(log.f64 (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) (/.f64 k n)))) |
(log.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) k) n))) |
(log.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) k)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))) |
(*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) (/.f64 k n))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) k) n)) |
(*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 2 binary64) k))) |
#s(literal 2 binary64) |
(/.f64 (PI.f64) (/.f64 k n)) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(PI.f64) |
(/.f64 k n) |
k |
n |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 n (/.f64 (PI.f64) k)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 n (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) |
(sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 k n)))) |
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(log.f64 (*.f64 n (/.f64 (PI.f64) k))) |
(log.f64 (/.f64 (PI.f64) (/.f64 k n))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 n (/.f64 (PI.f64) k)) |
(/.f64 (PI.f64) (/.f64 k n)) |
(*.f64 (PI.f64) (/.f64 n k)) |
n |
(/.f64 (PI.f64) k) |
(PI.f64) |
k |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 95.5% | (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 89.8% | (log.f64 (*.f64 n (/.f64 (PI.f64) k))) |
| accuracy | 60.3% | (PI.f64) | |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) (/.f64 k n)) |
| ✓ | accuracy | 95.4% | (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 89.8% | (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) |
| accuracy | 60.3% | (PI.f64) | |
| ✓ | accuracy | 99.5% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
| ✓ | accuracy | 99.1% | (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
| ✓ | accuracy | 90.0% | (sqrt.f64 (/.f64 n k)) |
| accuracy | 60.3% | (PI.f64) | |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
| accuracy | 99.8% | (/.f64 (PI.f64) k) | |
| ✓ | accuracy | 90.0% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
| accuracy | 60.3% | (PI.f64) | |
| ✓ | accuracy | 99.8% | (/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 99.8% | (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) |
| accuracy | 60.3% | (PI.f64) |
| 87.0ms | 49× | 0 | invalid |
| 50.0ms | 151× | 0 | valid |
| 16.0ms | 56× | 0 | exit |
Compiled 203 to 36 computations (82.3% saved)
ival-pow: 81.0ms (63.8% of total)ival-mult: 17.0ms (13.4% of total)ival-div: 8.0ms (6.3% of total)ival-log: 7.0ms (5.5% of total)ival-sqrt: 6.0ms (4.7% of total)ival-exp: 5.0ms (3.9% of total)ival-pi: 1.0ms (0.8% of total)ival-sub: 1.0ms (0.8% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 k #s(literal -1/2 binary64))> |
#<alt (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))> |
#<alt (*.f64 n #s(literal 2 binary64))> |
#<alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)))> |
#<alt (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k)))> |
#<alt (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))> |
#<alt (*.f64 (PI.f64) #s(literal 2 binary64))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))> |
#<alt (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))> |
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64))))> |
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64))> |
#<alt (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))> |
#<alt (/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))> |
#<alt (sqrt.f64 (/.f64 n k))> |
#<alt (/.f64 (PI.f64) (/.f64 k n))> |
#<alt (log.f64 (*.f64 n (/.f64 (PI.f64) k)))> |
| Outputs |
|---|
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) k))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 #s(literal 2 binary64) n)> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64)))> |
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 n) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) k)) (+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (/.f64 (*.f64 n (PI.f64)) k)> |
#<alt (+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))> |
#<alt (+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))> |
#<alt (+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))> |
#<alt (+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))> |
#<alt (+.f64 (log.f64 (/.f64 (PI.f64) k)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))> |
#<alt (+.f64 (log.f64 (/.f64 (PI.f64) k)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))> |
#<alt (+.f64 (log.f64 (/.f64 (PI.f64) k)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))> |
#<alt (+.f64 (log.f64 (/.f64 (PI.f64) k)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) k))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) k))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) k))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) k))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 k)))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 k)))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 k)))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (*.f64 #s(literal -1 binary64) (log.f64 k)))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) k)))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) k)))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) k)))> |
#<alt (+.f64 (log.f64 (*.f64 n (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) k)))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 n (PI.f64)))) (log.f64 (/.f64 #s(literal -1 binary64) k)))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 n (PI.f64)))) (log.f64 (/.f64 #s(literal -1 binary64) k)))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 n (PI.f64)))) (log.f64 (/.f64 #s(literal -1 binary64) k)))> |
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 n (PI.f64)))) (log.f64 (/.f64 #s(literal -1 binary64) k)))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 209.0ms | n | @ | 0 | (* (log (* 2 (/ (PI) (/ k n)))) 1/2) |
| 19.0ms | k | @ | -inf | (* (log (* 2 (/ (PI) (/ k n)))) 1/2) |
| 19.0ms | k | @ | -inf | (* (log (* n (/ (PI) k))) 1/2) |
| 18.0ms | n | @ | -inf | (* (log (* 2 (/ (PI) (/ k n)))) 1/2) |
| 18.0ms | k | @ | 0 | (* (log (* n (/ (PI) k))) 1/2) |
| 1× | batch-egg-rewrite |
| 293× | associate-*r* |
| 267× | log1p-expm1-u |
| 267× | expm1-log1p-u |
| 260× | add-exp-log |
| 258× | add-cube-cbrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 528 |
| 1 | 695 | 524 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 k #s(literal -1/2 binary64)) |
(*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) |
(*.f64 n #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64)) |
(log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64))) |
(*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(sqrt.f64 (/.f64 n k)) |
(/.f64 (PI.f64) (/.f64 k n)) |
(log.f64 (*.f64 n (/.f64 (PI.f64) k))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (pow.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) k))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) k)) (cbrt.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 k #s(literal -1/4 binary64)) (pow.f64 k #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 k #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 k) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 k) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 k) #s(literal -1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(log.f64 (exp.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 k #s(literal -1/2 binary64))))) |
(cbrt.f64 (pow.f64 (pow.f64 k #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 k #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 k))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 k)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 n #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 n #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 n #s(literal 2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal 4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) n)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 n #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 n #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (*.f64 n #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (*.f64 n #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (cbrt.f64 (/.f64 n k)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 n k))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 n k)))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k)))) |
(*.f64 (pow.f64 (/.f64 n k) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 n k) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
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(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sqrt.f64 k)) |
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(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 1 binary64)) |
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(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
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(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))))) |
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(sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) |
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))))) |
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 n k) #s(literal 3/2 binary64)))) |
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
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(+.f64 (log.f64 (sqrt.f64 (/.f64 n k))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
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(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))))) #s(literal 1 binary64)) |
(pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 3 binary64)) |
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(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 2 binary64)) |
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(log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
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(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 1 binary64))) |
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(/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) k) |
(/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64))) |
(/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 k n)) |
(/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 k n) (*.f64 (PI.f64) #s(literal 2 binary64)))) |
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(neg.f64 (/.f64 (PI.f64) (/.f64 k (neg.f64 n)))) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 k n))) |
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 n k) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 k n) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64))) |
(+.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k))) |
(+.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 n)) |
(+.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 n k))) |
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(+.f64 (*.f64 (log.f64 n) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 1 binary64))) |
(-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 k n))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 k n) (PI.f64)))) |
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 k (neg.f64 n)))) |
(-.f64 (log.f64 (*.f64 n (PI.f64))) (log.f64 k)) |
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 n) (log.f64 n)) (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (/.f64 (PI.f64) k))) (*.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 n) (log.f64 n)) (*.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (/.f64 (PI.f64) k)))) (-.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))) |
(pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 2 binary64)) |
(neg.f64 (log.f64 (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(log1p.f64 (-.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 461× | *-commutative |
| 335× | distribute-lft-neg-in |
| 327× | exp-prod |
| 228× | cube-prod |
| 228× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1124 | 36943 |
| 1 | 2329 | 35490 |
| 2 | 5391 | 34796 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k)) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (*.f64 #s(literal -1 binary64) (log.f64 k)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (*.f64 #s(literal -1 binary64) (log.f64 k)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (*.f64 #s(literal -1 binary64) (log.f64 k)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (*.f64 #s(literal -1 binary64) (log.f64 k)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) k)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) k)))) |
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(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 3 binary64)) |
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(pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
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(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k)))) |
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))))) #s(literal 1 binary64)) |
(pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 2 binary64)) |
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(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))) |
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))))) #s(literal 1 binary64)) |
(pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 1 binary64)) |
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 n k))))) |
(cbrt.f64 (pow.f64 (/.f64 n k) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 n k)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 n k)))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 n k)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n k)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 n k))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) k) n)) |
(*.f64 n (/.f64 (PI.f64) k)) |
(*.f64 (/.f64 (PI.f64) k) n) |
(*.f64 (sqrt.f64 (/.f64 n k)) (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 n k))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (PI.f64) k)) n)) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (cbrt.f64 (pow.f64 n #s(literal 2 binary64))) (*.f64 (cbrt.f64 n) (/.f64 (PI.f64) k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) n)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k))) |
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 (PI.f64) k))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 k (neg.f64 n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (*.f64 (PI.f64) n) (/.f64 #s(literal 1 binary64) k)) |
(*.f64 (*.f64 n (PI.f64)) (/.f64 #s(literal 1 binary64) k)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (/.f64 n k)) |
(*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 (PI.f64) k)) |
(*.f64 (/.f64 n (sqrt.f64 k)) (/.f64 (PI.f64) (sqrt.f64 k))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64)))) (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) k) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 k n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 k n))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (/.f64 k n)))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 k n))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 k n)))) |
(*.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 (PI.f64) k)) |
(*.f64 (/.f64 n (pow.f64 (cbrt.f64 k) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 k))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 n k))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 n k) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 n k))) |
(*.f64 (*.f64 n (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (*.f64 n (sqrt.f64 (/.f64 (PI.f64) k))) (sqrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (*.f64 (/.f64 (PI.f64) k) #s(literal 1 binary64)) n) |
(*.f64 (*.f64 (/.f64 (PI.f64) k) (cbrt.f64 (pow.f64 n #s(literal 2 binary64)))) (cbrt.f64 n)) |
(*.f64 (*.f64 (/.f64 (PI.f64) k) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (/.f64 k n) (PI.f64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(neg.f64 (/.f64 (PI.f64) (/.f64 k (neg.f64 n)))) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 k n))) |
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 n k) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 k n) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64))) |
(+.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k))) |
(+.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 n)) |
(+.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 n k))) |
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(+.f64 (*.f64 (log.f64 n) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 1 binary64))) |
(-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 k n))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 k n) (PI.f64)))) |
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 k (neg.f64 n)))) |
(-.f64 (log.f64 (*.f64 n (PI.f64))) (log.f64 k)) |
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 n) (log.f64 n)) (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (/.f64 (PI.f64) k))) (*.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 n) (log.f64 n)) (*.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (/.f64 (PI.f64) k)))) (-.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))) |
(pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 2 binary64)) |
(neg.f64 (log.f64 (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(log1p.f64 (-.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) k)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal -1 binary64)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal -1 binary64)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal -1 binary64)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) #s(literal -1 binary64)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64))) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
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(*.f64 (cbrt.f64 (/.f64 n k)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 n k))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 n k)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (cbrt.f64 (sqrt.f64 (/.f64 n k))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 n k))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (cbrt.f64 (/.f64 n k)))) |
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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 n k)))) |
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(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))))) |
(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 (PI.f64) k))) |
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
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(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 0 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
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(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
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(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3/2 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 n k) #s(literal 3/2 binary64)))) |
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 n k) #s(literal 3/2 binary64)))) |
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(cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))))) |
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(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
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(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (log.f64 (sqrt.f64 (/.f64 (PI.f64) k)))) |
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(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
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(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))))) |
(pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 1 binary64)) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 3 binary64)) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 2 binary64)) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 2 binary64))) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 1 binary64)))) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 3 binary64))) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))))) |
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))))) |
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 1 binary64))) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))))) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 1 binary64))) |
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(+.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(+.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(+.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (*.f64 n #s(literal 2 binary64)))) |
(+.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (*.f64 #s(literal 2 binary64) n))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(+.f64 (log.f64 (*.f64 n #s(literal 2 binary64))) (log.f64 (/.f64 (PI.f64) k))) |
(+.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (*.f64 #s(literal 2 binary64) n))) |
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(-.f64 (log.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (log.f64 k)) |
(-.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (log.f64 k)) |
(-.f64 (log.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (PI.f64)))) (log.f64 k)) |
(-.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 (/.f64 k n))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 2 binary64)))) |
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) (-.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))) #s(literal 2 binary64))) |
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(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k)))))) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
(log1p.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 k n))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (/.f64 k n)))) |
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n))) (sqrt.f64 (/.f64 k n))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 k n))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 k n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64)))) (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n)))) |
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n))) (cbrt.f64 (pow.f64 (/.f64 k n) #s(literal 2 binary64)))) |
(*.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 (PI.f64) k)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (/.f64 n (pow.f64 (cbrt.f64 k) #s(literal 2 binary64))) (/.f64 (PI.f64) (cbrt.f64 k))) |
(/.f64 (/.f64 (*.f64 n (PI.f64)) (cbrt.f64 k)) (pow.f64 (cbrt.f64 k) #s(literal 2 binary64))) |
(*.f64 n (/.f64 (/.f64 (PI.f64) (cbrt.f64 k)) (pow.f64 (cbrt.f64 k) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 n k))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 n k) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 n k))) |
(*.f64 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (/.f64 n k) #s(literal 2 binary64))) (cbrt.f64 (/.f64 n k)))) |
(*.f64 (PI.f64) (*.f64 (cbrt.f64 (/.f64 n k)) (cbrt.f64 (pow.f64 (/.f64 n k) #s(literal 2 binary64))))) |
(*.f64 (*.f64 n (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (*.f64 n (sqrt.f64 (/.f64 (PI.f64) k))) (sqrt.f64 (/.f64 (PI.f64) k))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (*.f64 (/.f64 (PI.f64) k) #s(literal 1 binary64)) n) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (*.f64 (/.f64 (PI.f64) k) (cbrt.f64 (pow.f64 n #s(literal 2 binary64)))) (cbrt.f64 n)) |
(*.f64 (cbrt.f64 (pow.f64 n #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) k) (cbrt.f64 n))) |
(*.f64 (/.f64 (PI.f64) k) (*.f64 (cbrt.f64 (pow.f64 n #s(literal 2 binary64))) (cbrt.f64 n))) |
(*.f64 (*.f64 (/.f64 (PI.f64) k) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 4 binary64))) |
(pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(pow.f64 (/.f64 (/.f64 k n) (PI.f64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 n k)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(neg.f64 (/.f64 (PI.f64) (/.f64 k (neg.f64 n)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (/.f64 k n))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 2 binary64))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 3 binary64))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 n k) #s(literal 3 binary64)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) k) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 k n) #s(literal 3 binary64)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 (PI.f64) k) #s(literal -1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64))) |
(*.f64 (PI.f64) (/.f64 n k)) |
(+.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k))) |
(+.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 n)) |
(+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k))) |
(+.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 n k))) |
(+.f64 (log.f64 (/.f64 n k)) (log.f64 (PI.f64))) |
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (log.f64 n) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 1 binary64))) |
(+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k))) |
(-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 k n))) |
(+.f64 (log.f64 (/.f64 n k)) (log.f64 (PI.f64))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 k n) (PI.f64)))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 k (neg.f64 n)))) |
(-.f64 (log.f64 (*.f64 n (PI.f64))) (log.f64 k)) |
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 n) (log.f64 n)) (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (/.f64 (PI.f64) k))) (*.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 3 binary64))) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (log.f64 (/.f64 (PI.f64) k)) (-.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 n))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (PI.f64) k)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 (PI.f64) k)) (-.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 n)) (*.f64 (log.f64 n) (log.f64 n)))) |
(/.f64 (-.f64 (*.f64 (log.f64 n) (log.f64 n)) (*.f64 (log.f64 (/.f64 (PI.f64) k)) (log.f64 (/.f64 (PI.f64) k)))) (-.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k)))) |
(+.f64 (log.f64 n) (log.f64 (/.f64 (PI.f64) k))) |
(pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 1 binary64)) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 3 binary64)) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 2 binary64)) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(neg.f64 (log.f64 (/.f64 (/.f64 k n) (PI.f64)))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 2 binary64))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) #s(literal 3 binary64))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(log1p.f64 (-.f64 (*.f64 (PI.f64) (/.f64 n k)) #s(literal 1 binary64))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) #s(literal 1 binary64))) |
(log.f64 (*.f64 (PI.f64) (/.f64 n k))) |
Compiled 15 885 to 3 466 computations (78.2% saved)
37 alts after pruning (28 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 16 | 943 |
| Fresh | 8 | 12 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 938 | 37 | 975 |
| Status | Accuracy | Program |
|---|---|---|
| 18.5% | (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) | |
| 28.0% | (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| 18.5% | (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) | |
| 28.2% | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) | |
| ✓ | 99.6% | (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
| ✓ | 99.6% | (/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
| 80.2% | (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) (sqrt.f64 k)) | |
| 38.0% | (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) | |
| 28.0% | (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 1/2 binary64))) | |
| 28.6% | (/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 k n))) | |
| ✓ | 78.1% | (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
| 97.1% | (/.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 k))) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) | |
| 29.4% | (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) | |
| ✓ | 99.6% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
| 80.4% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) | |
| ✓ | 28.1% | (*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
| 28.1% | (*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) | |
| 38.0% | (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) | |
| 37.8% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (sqrt.f64 k))) | |
| 28.6% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) n)))) | |
| ✓ | 28.1% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
| ✓ | 26.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
| 99.6% | (*.f64 (neg.f64 (pow.f64 k #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal 1/2 binary64))))))) | |
| 89.8% | (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) | |
| 28.2% | (sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) | |
| 28.2% | (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) | |
| 28.2% | (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) | |
| 37.6% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64)))) | |
| ✓ | 28.2% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
| 28.2% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) | |
| ✓ | 28.2% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
| 28.8% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) | |
| 26.7% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 k n)))))) | |
| 28.8% | (sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) | |
| 26.3% | (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))) #s(literal 1/2 binary64))) | |
| 19.7% | (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64))) | |
| 19.6% | (cbrt.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) #s(literal 3/2 binary64))) |
Compiled 1 183 to 595 computations (49.7% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n (/.f64 k (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 k n))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 n (PI.f64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))) |
(*.f64 (neg.f64 (pow.f64 k #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal 1/2 binary64))))))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 k n)))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (sqrt.f64 k))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (PI.f64) k))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1 binary64) k))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) k)))) (sqrt.f64 k)) |
(/.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 k))) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 k) #s(literal 1/2 binary64)))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (pow.f64 (pow.f64 k #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(*.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 k)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))))) (sqrt.f64 k)) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 k)) |
(/.f64 (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
4 calls:
| 21.0ms | n |
| 18.0ms | k |
| 16.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 16.0ms | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | k |
| 99.6% | 1 | n |
| 99.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| 99.6% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
Compiled 31 to 23 computations (25.8% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n (/.f64 k (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 k n))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 n (PI.f64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) (pow.f64 k #s(literal -1/2 binary64))) |
| Outputs |
|---|
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
3 calls:
| 14.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 14.0ms | k |
| 11.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | k |
| 99.6% | 1 | n |
| 99.6% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n (/.f64 k (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 k n))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 n (PI.f64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) |
| Outputs |
|---|
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k)) |
3 calls:
| 15.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 13.0ms | k |
| 11.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | k |
| 89.8% | 1 | n |
| 89.8% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n (/.f64 k (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 k n))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 n (PI.f64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64)))) |
3 calls:
| 16.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 13.0ms | k |
| 10.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 4 | n |
| 50.4% | 4 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 54.7% | 2 | k |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n (/.f64 k (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 k n))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 k n))) |
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) k))) #s(literal 3/2 binary64))) |
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 n k))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (PI.f64)) k))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
3 calls:
| 146.0ms | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 8.0ms | n |
| 8.0ms | k |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.6% | 3 | n |
| 43.6% | 3 | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 46.1% | 2 | k |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 n (/.f64 (PI.f64) k))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n (/.f64 k (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 n k))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
2 calls:
| 7.0ms | n |
| 5.0ms | k |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 2 | n |
| 36.3% | 2 | k |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 2 | n |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
2 calls:
| 3.0ms | n |
| 3.0ms | k |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | k |
| 28.2% | 1 | n |
Compiled 6 to 4 computations (33.3% saved)
Total -0.1b remaining (-0.1%)
Threshold costs -0.1b (-0.1%)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n)))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 k n) (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64)))) |
(sqrt.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 k (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (PI.f64) k)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
2 calls:
| 3.0ms | n |
| 3.0ms | k |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | k |
| 28.2% | 1 | n |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 97.0ms | 3.452320477306114e-54 | 1.0809332433774118e-46 |
| 85.0ms | 144× | 0 | valid |
| 6.0ms | 36× | 1 | invalid |
Compiled 264 to 216 computations (18.2% saved)
ival-mult: 76.0ms (87.7% of total)ival-pow: 4.0ms (4.6% of total)ival-div: 3.0ms (3.5% of total)ival-sub: 1.0ms (1.2% of total)adjust: 1.0ms (1.2% of total)ival-sqrt: 1.0ms (1.2% of total)ival-pi: 1.0ms (1.2% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.3544738114010648e+42 | 2.5538441969214034e+42 |
| 3.0ms | 32× | 0 | valid |
Compiled 73 to 62 computations (15.1% saved)
ival-mult: 1.0ms (48.9% of total)ival-pow: 1.0ms (48.9% of total)ival-pi: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.3544738114010648e+42 | 2.5538441969214034e+42 |
| 3.0ms | 32× | 0 | valid |
Compiled 75 to 62 computations (17.3% saved)
ival-mult: 1.0ms (47.8% of total)ival-pow: 1.0ms (47.8% of total)ival-pi: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.13643274016755064 | 3.5180845343822047 |
| 11.0ms | 112× | 0 | valid |
Compiled 210 to 172 computations (18.1% saved)
ival-mult: 2.0ms (27.6% of total)ival-pow: 2.0ms (27.6% of total)ival-div: 1.0ms (13.8% of total)ival-sub: 1.0ms (13.8% of total)ival-sqrt: 1.0ms (13.8% of total)ival-pi: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.13643274016755064 | 3.5180845343822047 |
| 10.0ms | 112× | 0 | valid |
Compiled 217 to 179 computations (17.5% saved)
ival-mult: 2.0ms (27.4% of total)ival-pow: 2.0ms (27.4% of total)ival-div: 1.0ms (13.7% of total)ival-sub: 1.0ms (13.7% of total)ival-sqrt: 1.0ms (13.7% of total)ival-pi: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 19× | *-commutative |
| 12× | +-commutative |
| 10× | sub-neg |
| 6× | neg-sub0 |
| 6× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 625 |
| 1 | 114 | 625 |
| 2 | 139 | 625 |
| 3 | 157 | 625 |
| 4 | 164 | 625 |
| 5 | 166 | 625 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(if (<=.f64 k #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k))) |
(if (<=.f64 k #s(literal 2450000000000000102232870815752369406476288 binary64)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64))))) |
(if (<=.f64 k #s(literal 2549999999999999967453187663954680158879744 binary64)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal 5584463537939415/36028797018963968 binary64)) (sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal 5584463537939415/36028797018963968 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
| Outputs |
|---|
(/.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 k #s(literal 2 binary64)))) (sqrt.f64 k)) |
(if (<=.f64 k #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)) (sqrt.f64 k)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64))) (-.f64 #s(literal 1 binary64) k)) k))) |
(if (<=.f64 k #s(literal 7713302612443153/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 k)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1 binary64) k)) k))) |
(if (<=.f64 k #s(literal 2450000000000000102232870815752369406476288 binary64)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64))))) |
(if (<=.f64 k #s(literal 2450000000000000102232870815752369406476288 binary64)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal 2 binary64) (/.f64 k (PI.f64))) #s(literal -1 binary64))))) |
(if (<=.f64 k #s(literal 2549999999999999967453187663954680158879744 binary64)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(if (<=.f64 k #s(literal 2549999999999999967453187663954680158879744 binary64)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(if (<=.f64 k #s(literal 2549999999999999967453187663954680158879744 binary64)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 n #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))))) |
(if (<=.f64 n #s(literal 5584463537939415/36028797018963968 binary64)) (sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal 5584463537939415/36028797018963968 binary64)) (sqrt.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))))) |
(if (<=.f64 n #s(literal 5584463537939415/36028797018963968 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal 5584463537939415/36028797018963968 binary64)) (sqrt.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal 5584463537939415/36028797018963968 binary64)) (sqrt.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (/.f64 k n))))))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(sqrt.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) k)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (/.f64 n k)))) |
| 1 096× | log1p-expm1-u |
| 718× | fma-define |
| 673× | associate-*r* |
| 627× | exp-prod |
| 573× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1124 | 36943 |
| 1 | 2329 | 35490 |
| 2 | 5391 | 34796 |
| 0 | 43 | 444 |
| 1 | 732 | 432 |
| 0 | 46 | 440 |
| 1 | 789 | 416 |
| 0 | 600 | 19256 |
| 1 | 1218 | 17586 |
| 2 | 4112 | 16578 |
| 0 | 39 | 438 |
| 1 | 96 | 380 |
| 2 | 211 | 380 |
| 3 | 410 | 364 |
| 4 | 686 | 352 |
| 5 | 1171 | 352 |
| 6 | 1433 | 352 |
| 7 | 1696 | 352 |
| 8 | 2015 | 352 |
| 9 | 2058 | 352 |
| 10 | 2086 | 352 |
| 11 | 2097 | 352 |
| 12 | 2099 | 352 |
| 0 | 40 | 528 |
| 1 | 695 | 524 |
| 0 | 26 | 274 |
| 1 | 427 | 270 |
| 2 | 4798 | 270 |
| 0 | 852 | 33303 |
| 1 | 1990 | 32107 |
| 2 | 7230 | 31762 |
| 0 | 861 | 4294994828 |
| 1 | 1696 | 4294993770 |
| 2 | 6094 | 4294991517 |
| 1× | fuel |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | saturated |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 2 117 to 737 computations (65.2% saved)
Compiled 384 to 162 computations (57.8% saved)
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