
Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 12.8% | 87.2% | 0% | 0% | 0% | 2 |
| 50% | 6.4% | 6.4% | 87.2% | 0% | 0% | 0% | 3 |
| 57.1% | 6.4% | 4.8% | 87.2% | 0% | 1.6% | 0% | 4 |
| 69.2% | 7.2% | 3.2% | 87.2% | 0% | 2.4% | 0% | 5 |
| 75% | 7.2% | 2.4% | 87.2% | 0% | 3.2% | 0% | 6 |
| 82.6% | 7.6% | 1.6% | 87.2% | 0% | 3.6% | 0% | 7 |
| 86.4% | 7.6% | 1.2% | 87.2% | 0% | 4% | 0% | 8 |
| 90.7% | 7.8% | 0.8% | 87.2% | 0% | 4.2% | 0% | 9 |
| 92.6% | 7.8% | 0.6% | 87.2% | 0% | 4.4% | 0% | 10 |
| 95% | 7.9% | 0.4% | 87.2% | 0% | 4.5% | 0% | 11 |
| 96.3% | 8% | 0.3% | 87.2% | 0% | 4.5% | 0% | 12 |
Compiled 25 to 17 computations (32% saved)
ival-sub: 3.0ms (27.4% of total)ival-<=: 3.0ms (27.4% of total)ival-mult: 2.0ms (18.2% of total)ival-sqrt: 2.0ms (18.2% of total)ival-and: 1.0ms (9.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 498.0ms | 4854× | 0 | valid |
| 463.0ms | 2750× | 1 | valid |
| 261.0ms | 652× | 2 | valid |
| 14.0ms | 156× | 0 | invalid |
ival-mult: 299.0ms (34.3% of total)ival-sqrt: 173.0ms (19.8% of total)ival-sub: 154.0ms (17.7% of total)ival-<=: 140.0ms (16.1% of total)backward-pass: 63.0ms (7.2% of total)ival-and: 25.0ms (2.9% of total)const: 18.0ms (2.1% of total)| 1× | egg-herbie |
| 220× | fma-neg |
| 125× | fma-define |
| 54× | sub-neg |
| 29× | cancel-sign-sub-inv |
| 29× | unsub-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 269 |
| 1 | 60 | 253 |
| 2 | 140 | 241 |
| 3 | 357 | 241 |
| 4 | 689 | 241 |
| 5 | 926 | 241 |
| 6 | 962 | 241 |
| 7 | 968 | 241 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))) |
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))) |
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))) |
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))) |
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))) |
(-.f64 x (sqrt.f64 (fma.f64 x x eps))) |
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))) |
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))) |
(+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x eps))) |
(-.f64 (sqrt.f64 (fma.f64 x x eps)) x) |
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 106 | 0 | - | 0 | - | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) eps) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| 0 | 0 | - | 0 | - | eps |
| 24.0ms | 156× | 1 | valid |
| 24.0ms | 306× | 0 | valid |
| 11.0ms | 50× | 2 | valid |
Compiled 64 to 20 computations (68.8% saved)
ival-sub: 8.0ms (31% of total)ival-mult: 7.0ms (27.1% of total)ival-sqrt: 6.0ms (23.2% of total)backward-pass: 4.0ms (15.5% of total)const: 1.0ms (3.9% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.3% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -6336 | (-.f64 (*.f64 x x) eps) |
| ✓ | cost-diff | -6336 | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| ✓ | cost-diff | -6336 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| 107× | fma-define |
| 72× | fma-neg |
| 24× | distribute-rgt-in |
| 24× | sub-neg |
| 22× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 104 |
| 1 | 18 | 104 |
| 2 | 26 | 104 |
| 3 | 40 | 104 |
| 4 | 61 | 104 |
| 5 | 107 | 104 |
| 6 | 200 | 104 |
| 7 | 274 | 104 |
| 8 | 374 | 104 |
| 9 | 450 | 104 |
| 10 | 506 | 104 |
| 11 | 510 | 104 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
x |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
(*.f64 x x) |
eps |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) |
x |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(sqrt.f64 (fma.f64 x x (neg.f64 eps))) |
(-.f64 (*.f64 x x) eps) |
(fma.f64 x x (neg.f64 eps)) |
(*.f64 x x) |
eps |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 (*.f64 x x) eps)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x x) eps) |
| ✓ | accuracy | 62.3% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| 12.0ms | 78× | 1 | valid |
| 10.0ms | 153× | 0 | valid |
| 5.0ms | 25× | 2 | valid |
Compiled 27 to 7 computations (74.1% saved)
ival-sub: 4.0ms (31.2% of total)ival-sqrt: 3.0ms (23.4% of total)ival-mult: 3.0ms (23.4% of total)backward-pass: 2.0ms (15.6% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x x)> |
#<alt (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))> |
#<alt (sqrt.f64 (-.f64 (*.f64 x x) eps))> |
#<alt (-.f64 (*.f64 x x) eps)> |
| Outputs |
|---|
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x)> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))> |
#<alt (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))> |
#<alt (+.f64 x (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (+.f64 x (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) eps)> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) eps)> |
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))> |
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))> |
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) eps)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (sqrt (- (* x x) eps)) |
| 1.0ms | eps | @ | inf | (- x (sqrt (- (* x x) eps))) |
| 1.0ms | x | @ | inf | (- x (sqrt (- (* x x) eps))) |
| 1.0ms | eps | @ | inf | (sqrt (- (* x x) eps)) |
| 1.0ms | eps | @ | -inf | (- x (sqrt (- (* x x) eps))) |
| 1× | batch-egg-rewrite |
| 759× | log1p-expm1-u |
| 759× | expm1-log1p-u |
| 628× | unpow-prod-down |
| 461× | fma-define |
| 334× | log-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 84 |
| 1 | 150 | 84 |
| 2 | 2114 | 80 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x x) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(sqrt.f64 (-.f64 (*.f64 x x) eps)) |
(-.f64 (*.f64 x x) eps) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x) |
(+.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) |
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))))) |
(/.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) eps)) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 3 binary64)) |
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(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/3 binary64))) |
(fma.f64 x x (neg.f64 eps)) |
(fma.f64 x x (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 eps)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 eps)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (neg.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 eps)) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (cbrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 eps)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 eps)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (+.f64 (neg.f64 eps) eps)) |
| 1× | egg-herbie |
| 585× | fma-neg |
| 391× | associate-*r* |
| 355× | associate-*l* |
| 326× | *-commutative |
| 316× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 917 | 8589955054 |
| 1 | 2128 | 8589953875 |
| 2 | 6462 | 8589953037 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))) |
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(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1/3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x x eps)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x eps))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 eps))) |
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)) |
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 eps)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 eps)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (neg.f64 eps)))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 eps)) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 eps)) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 eps))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/3 binary64))) |
(fma.f64 x x (neg.f64 eps)) |
(fma.f64 x x (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 eps)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 eps)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (neg.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 eps)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 eps)) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (cbrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 eps)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 eps)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (+.f64 (neg.f64 eps) eps)) |
| Outputs |
|---|
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
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x |
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(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 eps (neg.f64 eps))) |
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 eps)) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) (+.f64 eps (neg.f64 eps))) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) (+.f64 eps (neg.f64 eps))) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (+.f64 (neg.f64 eps) eps)) |
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) (+.f64 eps (neg.f64 eps))) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) eps)) |
Compiled 10855 to 1873 computations (82.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 10 | 537 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 527 | 11 | 538 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.8% | (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| ▶ | 60.5% | (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
| ✓ | 62.3% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ▶ | 58.7% | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 50.1% | (-.f64 x (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)))) | |
| 4.2% | (-.f64 x x) | |
| 76.7% | (*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) | |
| ▶ | 3.5% | (*.f64 x #s(literal 2 binary64)) |
| 43.9% | (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) | |
| 38.7% | (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 44.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
Compiled 200 to 142 computations (29% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 eps) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 eps)) |
| ✓ | cost-diff | 0 | (hypot.f64 (sqrt.f64 (neg.f64 eps)) x) |
| ✓ | cost-diff | 0 | (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
| ✓ | cost-diff | 0 | (neg.f64 eps) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 eps)) |
| ✓ | cost-diff | 0 | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | cost-diff | 0 | (/.f64 eps x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 eps)) |
| ✓ | cost-diff | 0 | (hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | cost-diff | 0 | (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
| ✓ | cost-diff | 0 | (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| 424× | fma-neg |
| 320× | fma-define |
| 281× | times-frac |
| 130× | distribute-rgt-in |
| 114× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 302 |
| 1 | 40 | 302 |
| 2 | 56 | 302 |
| 3 | 83 | 302 |
| 4 | 115 | 302 |
| 5 | 180 | 302 |
| 6 | 301 | 302 |
| 7 | 465 | 302 |
| 8 | 715 | 302 |
| 9 | 1025 | 302 |
| 10 | 1675 | 302 |
| 11 | 2656 | 302 |
| 12 | 2758 | 302 |
| 13 | 2815 | 302 |
| 14 | 2879 | 302 |
| 15 | 2899 | 302 |
| 16 | 2907 | 302 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
eps |
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
x |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
#s(literal 1/2 binary64) |
(/.f64 eps x) |
eps |
x |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
x |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
eps |
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
x |
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
eps |
| Outputs |
|---|
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
eps |
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
x |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 eps x) |
eps |
x |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
x |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
eps |
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
x |
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x) |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
eps |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (neg.f64 eps)) |
| ✓ | accuracy | 100.0% | (neg.f64 eps) |
| ✓ | accuracy | 100.0% | (hypot.f64 (sqrt.f64 (neg.f64 eps)) x) |
| ✓ | accuracy | 83.1% | (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (neg.f64 eps)) |
| ✓ | accuracy | 100.0% | (neg.f64 eps) |
| ✓ | accuracy | 100.0% | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | accuracy | 100.0% | (/.f64 eps x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 eps) |
| ✓ | accuracy | 100.0% | (hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
| ✓ | accuracy | 100.0% | (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
| ✓ | accuracy | 99.5% | (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| 28.0ms | 153× | 0 | valid |
| 24.0ms | 45× | 1 | valid |
| 10.0ms | 58× | 0 | invalid |
Compiled 78 to 16 computations (79.5% saved)
ival-hypot: 13.0ms (40.3% of total)ival-div: 4.0ms (12.4% of total)ival-mult: 3.0ms (9.3% of total)ival-sub: 3.0ms (9.3% of total)ival-add: 2.0ms (6.2% of total)ival-sqrt: 2.0ms (6.2% of total)ival-neg: 2.0ms (6.2% of total)backward-pass: 2.0ms (6.2% of total)const: 1.0ms (3.1% of total)| Inputs |
|---|
#<alt (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))> |
#<alt (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))> |
#<alt (hypot.f64 x (sqrt.f64 (neg.f64 eps)))> |
#<alt (sqrt.f64 (neg.f64 eps))> |
#<alt (*.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (/.f64 eps x)> |
#<alt (-.f64 x (sqrt.f64 (neg.f64 eps)))> |
#<alt (neg.f64 eps)> |
#<alt (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))> |
#<alt (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))> |
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)> |
#<alt (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
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#<alt (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 5 binary64)))))))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 eps (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x eps)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x eps))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
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#<alt (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))> |
#<alt (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))> |
#<alt x> |
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#<alt x> |
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#<alt (+.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)))))> |
#<alt (+.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 5 binary64)))))))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))))> |
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))> |
#<alt (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 3.0ms | eps | @ | 0 | (- x (sqrt (+ (* (sqrt (neg eps)) (sqrt (neg eps))) (* x x)))) |
| 2.0ms | x | @ | 0 | (/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 2.0ms | eps | @ | inf | (/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 1.0ms | eps | @ | 0 | (/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 1× | batch-egg-rewrite |
| 981× | log1p-expm1-u |
| 864× | expm1-log1p-u |
| 146× | add-cube-cbrt |
| 145× | add-exp-log |
| 145× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 224 |
| 1 | 316 | 192 |
| 2 | 4966 | 192 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(/.f64 eps x) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(neg.f64 eps) |
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 eps (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cbrt.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps) |
(*.f64 #s(literal -1 binary64) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x)))) |
(*.f64 (/.f64 eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 (fma.f64 x x eps) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps))) (neg.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (-.f64 (fma.f64 x x eps) (pow.f64 x #s(literal 2 binary64))) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x)) |
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) |
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(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))) |
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 eps))) |
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(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))) |
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 eps)) #s(literal 1 binary64))) |
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(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
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(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x eps))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 eps x)) |
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(*.f64 eps (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) x)) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (neg.f64 x))) |
(*.f64 (/.f64 eps x) #s(literal 1 binary64)) |
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(*.f64 (cbrt.f64 (/.f64 eps x)) (cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cbrt.f64 eps) x)) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cbrt.f64 eps) (neg.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 eps x)) (sqrt.f64 (/.f64 eps x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) eps) |
(*.f64 #s(literal -1 binary64) (/.f64 eps x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 eps) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) x)) |
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 x))) |
(pow.f64 (/.f64 eps x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x eps) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps x)) |
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps x)))) |
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps x))) |
(log1p.f64 (expm1.f64 (/.f64 eps x))) |
(exp.f64 (log.f64 (/.f64 eps x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))) |
(+.f64 x (neg.f64 (sqrt.f64 eps))) |
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(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64) (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 1/4 binary64)) (sqrt.f64 eps))) |
(+.f64 (neg.f64 (sqrt.f64 eps)) x) |
(*.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64))) |
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(*.f64 (fma.f64 x x eps) (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps)))) |
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(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
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(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (sqrt.f64 eps))))) |
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(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps)))) |
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(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))) |
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(+.f64 #s(literal 0 binary64) eps) |
(-.f64 #s(literal 0 binary64) eps) |
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64)) |
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(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) |
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(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64)) |
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(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64))) |
(log.f64 (exp.f64 eps)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps))) |
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64))) |
eps |
(expm1.f64 (log1p.f64 eps)) |
(log1p.f64 (expm1.f64 eps)) |
(exp.f64 (log.f64 eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) |
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(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps))) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps))) |
(*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 x x eps) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 x x eps)) |
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 639× | fma-define |
| 499× | times-frac |
| 468× | distribute-rgt-in |
| 468× | distribute-lft-in |
| 315× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1062 | 21806 |
| 1 | 2814 | 20342 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps))) |
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x) |
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x) |
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x) |
(*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) |
(+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
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x |
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x |
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(pow.f64 (/.f64 eps x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x eps) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps x)) |
(sqrt.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps x)))) |
(cbrt.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps x))) |
(log1p.f64 (expm1.f64 (/.f64 eps x))) |
(exp.f64 (log.f64 (/.f64 eps x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal 1 binary64))) |
(+.f64 x (neg.f64 (sqrt.f64 eps))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64) (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps))) |
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 1/4 binary64)) (sqrt.f64 eps))) |
(+.f64 (neg.f64 (sqrt.f64 eps)) x) |
(*.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (fma.f64 x x eps) (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) |
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps)))) |
(pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (sqrt.f64 eps))))) |
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps)))) |
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps)))) |
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (sqrt.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps))) |
(+.f64 #s(literal 0 binary64) eps) |
(-.f64 #s(literal 0 binary64) eps) |
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64)) |
(*.f64 eps #s(literal 1 binary64)) |
(*.f64 eps #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps))) |
(*.f64 #s(literal 1 binary64) eps) |
(*.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (sqrt.f64 eps)) (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps)) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 (cbrt.f64 eps))) |
(*.f64 (pow.f64 eps #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 1/4 binary64)) (sqrt.f64 eps))) |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) |
(*.f64 #s(literal -1 binary64) eps) |
(*.f64 (*.f64 (sqrt.f64 eps) (pow.f64 eps #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64)))) (cbrt.f64 eps)) |
(*.f64 (*.f64 (sqrt.f64 eps) (cbrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps))) |
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64)))) (cbrt.f64 eps)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) |
(pow.f64 eps #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64))) |
(log.f64 (exp.f64 eps)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps))) |
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 eps)) |
(log1p.f64 (expm1.f64 eps)) |
(exp.f64 (log.f64 eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) |
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x) |
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps))) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps))) |
(*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 x x eps) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 x x eps)) |
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 eps) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (fma.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (fma.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (neg.f64 eps) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (neg.f64 eps) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64))) |
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x |
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x |
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(neg.f64 eps) |
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 eps)) |
(*.f64 eps #s(literal 1 binary64)) |
eps |
(*.f64 eps #s(literal -1 binary64)) |
(neg.f64 eps) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) |
eps |
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps))) |
(neg.f64 eps) |
(*.f64 #s(literal 1 binary64) eps) |
eps |
(*.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps)) |
(*.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (sqrt.f64 eps)) (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 eps) (*.f64 (sqrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (sqrt.f64 eps)) #s(literal 4 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps)) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 (cbrt.f64 eps))) |
(*.f64 (cbrt.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 (pow.f64 eps #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 1/4 binary64)) (sqrt.f64 eps))) |
eps |
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) |
(neg.f64 eps) |
(*.f64 #s(literal -1 binary64) eps) |
(neg.f64 eps) |
(*.f64 (*.f64 (sqrt.f64 eps) (pow.f64 eps #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 1/4 binary64))) |
eps |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64)))) (cbrt.f64 eps)) |
(*.f64 (cbrt.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 (cbrt.f64 eps))) |
(*.f64 (*.f64 (sqrt.f64 eps) (cbrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 eps) (*.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64)))) (cbrt.f64 eps)) |
(*.f64 (cbrt.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 (cbrt.f64 eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) eps) |
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) eps) |
(pow.f64 eps #s(literal 1 binary64)) |
eps |
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64)) |
eps |
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64)) |
eps |
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64))) |
(fabs.f64 eps) |
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
eps |
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64))) |
(fabs.f64 eps) |
(log.f64 (exp.f64 eps)) |
eps |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps))) |
eps |
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64))) |
eps |
(expm1.f64 (log1p.f64 eps)) |
(log1p.f64 (expm1.f64 eps)) |
eps |
(exp.f64 (log.f64 eps)) |
eps |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) |
eps |
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 0 binary64))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps)))) |
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 0 binary64))) |
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps))) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(-.f64 x (hypot.f64 x (sqrt.f64 eps))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(hypot.f64 x (sqrt.f64 eps)) |
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 eps))) |
(hypot.f64 x (sqrt.f64 eps)) |
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps))) |
(*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(hypot.f64 x (sqrt.f64 eps)) |
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 1 binary64)) |
(hypot.f64 x (sqrt.f64 eps)) |
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) |
(hypot.f64 x (sqrt.f64 eps)) |
(pow.f64 (fma.f64 x x eps) #s(literal 1/2 binary64)) |
(hypot.f64 x (sqrt.f64 eps)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(hypot.f64 x (sqrt.f64 eps)) |
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)) |
(hypot.f64 x (sqrt.f64 eps)) |
(sqrt.f64 (fma.f64 x x eps)) |
(hypot.f64 x (sqrt.f64 eps)) |
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(hypot.f64 x (sqrt.f64 eps)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))) |
(hypot.f64 x (sqrt.f64 eps)) |
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) |
(hypot.f64 x (sqrt.f64 eps)) |
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(hypot.f64 x (sqrt.f64 eps)) |
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps)))) |
(hypot.f64 x (sqrt.f64 eps)) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))) |
(hypot.f64 x (sqrt.f64 eps)) |
Compiled 13196 to 2429 computations (81.6% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 728 | 3 | 731 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 730 | 12 | 742 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.6% | (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
| ✓ | 76.8% | (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| ▶ | 43.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
| ✓ | 60.5% | (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
| ✓ | 62.3% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 58.7% | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 50.1% | (-.f64 x (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)))) | |
| ▶ | 4.2% | (-.f64 x x) |
| ▶ | 43.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
| ▶ | 76.7% | (*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
| ✓ | 3.5% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | 44.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
Compiled 165 to 115 computations (30.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 eps x) | |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 x eps) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
| ✓ | cost-diff | 128 | (-.f64 x x) |
| cost-diff | 0 | (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) | |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| ✓ | cost-diff | 128 | (+.f64 eps #s(literal 0 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
| 1611× | fma-define |
| 767× | fma-neg |
| 510× | times-frac |
| 347× | distribute-lft-in |
| 319× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 361 |
| 1 | 57 | 355 |
| 2 | 103 | 355 |
| 3 | 208 | 355 |
| 4 | 300 | 355 |
| 5 | 437 | 355 |
| 6 | 565 | 355 |
| 7 | 667 | 355 |
| 8 | 946 | 355 |
| 9 | 1763 | 355 |
| 10 | 3641 | 355 |
| 11 | 5129 | 355 |
| 12 | 5664 | 355 |
| 13 | 5923 | 355 |
| 14 | 6313 | 355 |
| 15 | 6761 | 355 |
| 16 | 7672 | 355 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(+.f64 eps #s(literal 0 binary64)) |
eps |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
#s(literal 1 binary64) |
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
x |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
(-.f64 x x) |
x |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
eps |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
#s(literal 1/2 binary64) |
(/.f64 x eps) |
x |
eps |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
eps |
(fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))) |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) |
(/.f64 eps x) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 (*.f64 eps #s(literal 1 binary64)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(+.f64 eps #s(literal 0 binary64)) |
eps |
eps |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
#s(literal 1 binary64) |
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
x |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
(-.f64 x x) |
#s(literal 0 binary64) |
x |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
eps |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
#s(literal 1/2 binary64) |
(/.f64 x eps) |
x |
eps |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) |
eps |
(fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 eps x) |
#s(literal -1/2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))) |
| accuracy | 100.0% | (/.f64 eps x) | |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 x eps) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
| ✓ | accuracy | 100.0% | (-.f64 x x) |
| accuracy | 100.0% | (hypot.f64 x (sqrt.f64 (neg.f64 eps))) | |
| accuracy | 100.0% | (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) | |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| ✓ | accuracy | 99.7% | (*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
| 54.0ms | 198× | 0 | valid |
| 16.0ms | 58× | 0 | invalid |
Compiled 105 to 24 computations (77.1% saved)
ival-div: 11.0ms (30.5% of total)ival-add: 6.0ms (16.7% of total)ival-mult: 6.0ms (16.7% of total)ival-hypot: 4.0ms (11.1% of total)ival-fma: 3.0ms (8.3% of total)ival-sqrt: 2.0ms (5.6% of total)ival-sub: 1.0ms (2.8% of total)const: 1.0ms (2.8% of total)ival-neg: 1.0ms (2.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))> |
#<alt (+.f64 eps #s(literal 0 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))> |
#<alt (-.f64 x x)> |
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)> |
#<alt (/.f64 #s(literal 1/2 binary64) x)> |
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 x eps))> |
#<alt (/.f64 x eps)> |
#<alt (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))))> |
#<alt (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))> |
#<alt (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))> |
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)> |
#<alt (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))> |
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))> |
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#<alt (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
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#<alt (/.f64 #s(literal 1/2 binary64) x)> |
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#<alt (/.f64 #s(literal 1/2 binary64) x)> |
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) eps)> |
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))> |
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal -2 binary64) x)> |
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))> |
#<alt (-.f64 (+.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))> |
#<alt (-.f64 (+.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -2 binary64) x)> |
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))> |
#<alt (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))> |
#<alt (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (*.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))> |
#<alt (*.f64 #s(literal -2 binary64) x)> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal 2 binary64) x)> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 1.0ms | eps | @ | 0 | (/ x eps) |
| 1.0ms | eps | @ | -inf | (/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 1.0ms | x | @ | 0 | (/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 1.0ms | x | @ | inf | (/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps))))))) |
| 1× | batch-egg-rewrite |
| 740× | prod-diff |
| 441× | log1p-expm1-u |
| 175× | expm1-log1p-u |
| 172× | add-cube-cbrt |
| 171× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 218 |
| 1 | 455 | 151 |
| 2 | 6136 | 151 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(+.f64 eps #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(-.f64 x x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 x eps) |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 0 binary64))) |
(+.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 0 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) #s(literal 1 binary64)) |
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) |
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) |
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps)) |
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (/.f64 eps #s(literal 1 binary64)) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 eps (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 eps #s(literal 2 binary64))) eps) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) eps) |
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64))) |
(-.f64 eps #s(literal 0 binary64)) |
(-.f64 eps (/.f64 #s(literal 0 binary64) eps)) |
(-.f64 #s(literal 0 binary64) eps) |
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64)) |
(*.f64 eps #s(literal 1 binary64)) |
(*.f64 eps #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) eps) |
(*.f64 #s(literal -1 binary64) eps) |
(*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (sqrt.f64 eps)) (sqrt.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps))) |
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 1/4 binary64)) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps))) |
(*.f64 (*.f64 (sqrt.f64 eps) (pow.f64 eps #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps)) |
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eps |
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(-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64))) |
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(*.f64 eps (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps #s(literal 0 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps #s(literal 0 binary64))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 eps #s(literal 0 binary64))))) |
(cbrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log1p.f64 (expm1.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64))) |
(+.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 (/.f64 eps #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 eps #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 eps #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (/.f64 eps #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(/.f64 eps #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))))) |
(/.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)) eps) |
(/.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64)) |
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 eps x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (neg.f64 x) (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (neg.f64 x) eps)) |
(/.f64 (neg.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (/.f64 eps #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps #s(literal 0 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps #s(literal 0 binary64))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 eps #s(literal 0 binary64))))) |
(cbrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log1p.f64 (expm1.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 eps #s(literal 0 binary64))) |
| 1× | egg-herbie |
| 332× | *-commutative |
| 141× | associate-*r/ |
| 93× | +-commutative |
| 79× | fma-define |
| 71× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1077 | 7420 |
| 1 | 4340 | 7420 |
| 1× | unsound |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps))) |
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
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(log.f64 (exp.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps #s(literal 0 binary64))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 eps #s(literal 0 binary64))))) |
(cbrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log1p.f64 (expm1.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64))) |
(+.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 (/.f64 eps #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (/.f64 eps #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 eps #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (/.f64 eps #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(/.f64 eps #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))))) |
(/.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)) eps) |
(/.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64)) |
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x) |
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) |
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 eps x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (neg.f64 x) (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (neg.f64 x) eps)) |
(/.f64 (neg.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (/.f64 eps #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 eps #s(literal 0 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps #s(literal 0 binary64))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 eps #s(literal 0 binary64))))) |
(cbrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) |
(log1p.f64 (expm1.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (/.f64 eps #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 eps #s(literal 0 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x))) |
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(literal -2 binary64) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 x) |
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(neg.f64 x) |
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (neg.f64 x))) (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) |
#s(literal -2 binary64) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))) |
(+.f64 #s(literal -2 binary64) x) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps))) |
(neg.f64 x) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x)) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(literal -2 binary64) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 x) |
(+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(fma.f64 x (neg.f64 x) #s(literal -2 binary64)) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(fma.f64 x (fma.f64 x (neg.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) x) |
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) x) |
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) x) |
(*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 11/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))))) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
eps |
#s(literal -2 binary64) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(literal -2 binary64) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(neg.f64 x) |
(+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(fma.f64 x (neg.f64 x) #s(literal -2 binary64)) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) |
(fma.f64 x (fma.f64 x (neg.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) x) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) x) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) x) |
(*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 11/64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal -2 binary64) x) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) eps) |
(neg.f64 x) |
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) eps) |
(neg.f64 x) |
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) eps) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (neg.f64 x))) (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 x)) #s(literal -2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(literal -2 binary64) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) eps)) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 eps x))) eps)) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) eps)) |
(neg.f64 x) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x))) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) eps) |
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(pow.f64 (cbrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 3 binary64)) |
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(pow.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
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(pow.f64 (sqrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))) #s(literal -1 binary64)) |
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(sqrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) |
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(log.f64 (exp.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps #s(literal 0 binary64))))) |
#s(literal -2 binary64) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 eps #s(literal 0 binary64))))) |
#s(literal -2 binary64) |
(cbrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) |
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(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
#s(literal -2 binary64) |
(expm1.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(log1p.f64 (expm1.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(exp.f64 (log.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
#s(literal -2 binary64) |
(fma.f64 x #s(literal 2 binary64) (/.f64 eps #s(literal 0 binary64))) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) (/.f64 x eps)) |
(neg.f64 x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x eps))) #s(literal 1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 x eps)) |
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(*.f64 x (/.f64 #s(literal 1 binary64) eps)) |
(neg.f64 x) |
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) eps))) |
(neg.f64 x) |
(*.f64 (/.f64 x eps) #s(literal 1 binary64)) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (/.f64 x eps)) |
(neg.f64 x) |
(*.f64 (cbrt.f64 (/.f64 x eps)) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) |
(neg.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x eps))) |
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 x eps)))) |
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(*.f64 (sqrt.f64 (/.f64 x eps)) (neg.f64 (sqrt.f64 (/.f64 x eps)))) |
(neg.f64 x) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) eps)) |
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(*.f64 (/.f64 x (pow.f64 eps #s(literal 2 binary64))) eps) |
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(pow.f64 (/.f64 x eps) #s(literal 1 binary64)) |
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(pow.f64 (/.f64 eps x) #s(literal -1 binary64)) |
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(pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 3 binary64)) |
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(pow.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) |
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(neg.f64 (/.f64 x eps)) |
(neg.f64 x) |
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(exp.f64 (log.f64 (/.f64 x eps))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal 1 binary64))) |
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(pow.f64 (/.f64 eps (/.f64 eps #s(literal 0 binary64))) #s(literal 1/2 binary64)) |
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(pow.f64 (/.f64 eps (/.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) |
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(pow.f64 (/.f64 eps (/.f64 eps #s(literal 0 binary64))) #s(literal 3 binary64)) |
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(pow.f64 (/.f64 eps (/.f64 eps #s(literal 0 binary64))) #s(literal 1/3 binary64)) |
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#s(literal -2 binary64) |
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#s(literal -2 binary64) |
(log1p.f64 (expm1.f64 (/.f64 eps (/.f64 eps #s(literal 0 binary64))))) |
#s(literal -2 binary64) |
(exp.f64 (log.f64 (/.f64 eps (/.f64 eps #s(literal 0 binary64))))) |
#s(literal -2 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (/.f64 eps #s(literal 0 binary64)))) #s(literal 1 binary64))) |
#s(literal -2 binary64) |
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#s(literal -2 binary64) |
(+.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 0 binary64)) |
#s(literal -2 binary64) |
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#s(literal -2 binary64) |
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#s(literal -2 binary64) |
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#s(literal -2 binary64) |
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#s(literal -2 binary64) |
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(/.f64 (neg.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 x)) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 0 binary64)))))) |
#s(literal -2 binary64) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (/.f64 eps #s(literal 0 binary64))) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x eps)) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (neg.f64 x))) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps))) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal -2 binary64) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 (*.f64 eps #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal -2 binary64) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (cbrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (sqrt.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 0 binary64))) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(neg.f64 (/.f64 eps #s(literal 0 binary64))) |
#s(literal -2 binary64) |
(sqrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) |
#s(literal -2 binary64) |
(log.f64 (exp.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps #s(literal 0 binary64))))) |
#s(literal -2 binary64) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 eps #s(literal 0 binary64))))) |
#s(literal -2 binary64) |
(cbrt.f64 (pow.f64 (/.f64 eps #s(literal 0 binary64)) #s(literal 3 binary64))) |
#s(literal -2 binary64) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
#s(literal -2 binary64) |
(expm1.f64 (log1p.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(log1p.f64 (expm1.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(exp.f64 (log.f64 (/.f64 eps #s(literal 0 binary64)))) |
#s(literal -2 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps #s(literal 0 binary64))) #s(literal 1 binary64))) |
#s(literal -2 binary64) |
(fma.f64 x #s(literal 2 binary64) (/.f64 eps #s(literal 0 binary64))) |
(neg.f64 x) |
Compiled 13154 to 2590 computations (80.3% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 12 | 695 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 686 | 21 | 707 |
| Status | Accuracy | Program |
|---|---|---|
| 44.6% | (/.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) | |
| 44.6% | (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) | |
| ✓ | 76.8% | (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| ▶ | 44.5% | (/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| 5.2% | (/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) | |
| ✓ | 43.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
| ▶ | 43.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
| 3.5% | (/.f64 #s(literal -2 binary64) x) | |
| ✓ | 60.5% | (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
| ✓ | 62.3% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 58.7% | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 50.1% | (-.f64 x (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)))) | |
| 5.8% | (+.f64 #s(literal -2 binary64) x) | |
| ✓ | 43.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
| ✓ | 3.5% | (*.f64 x #s(literal 2 binary64)) |
| ▶ | 76.7% | (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
| ✓ | 44.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
| ▶ | 5.2% | (*.f64 #s(literal -2 binary64) x) |
| 5.2% | (neg.f64 x) | |
| 4.2% | #s(literal 0 binary64) | |
| ▶ | 5.8% | #s(literal -2 binary64) |
Compiled 289 to 209 computations (27.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -128 | (/.f64 x eps) | |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (/.f64 x eps)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) eps) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) eps) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) |
| cost-diff | 0 | (hypot.f64 x (sqrt.f64 (neg.f64 eps))) | |
| cost-diff | 0 | (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) | |
| ✓ | cost-diff | 128 | (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
| 538× | times-frac |
| 435× | fma-neg |
| 395× | div-sub |
| 369× | neg-mul-1 |
| 361× | sub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 439 |
| 1 | 68 | 391 |
| 2 | 111 | 391 |
| 3 | 290 | 382 |
| 4 | 684 | 382 |
| 5 | 1239 | 382 |
| 6 | 2873 | 382 |
| 7 | 5757 | 382 |
| 8 | 7886 | 382 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
eps |
(/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
#s(literal 1 binary64) |
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
x |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
#s(literal -2 binary64) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) x) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
x |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
eps |
(*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (/.f64 x eps)) |
#s(literal 2 binary64) |
(/.f64 x eps) |
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
eps |
(/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
#s(literal 1 binary64) |
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) |
x |
(hypot.f64 x (sqrt.f64 (neg.f64 eps))) |
(sqrt.f64 (neg.f64 eps)) |
(neg.f64 eps) |
#s(literal -2 binary64) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
x |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) x) |
(*.f64 x (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 x eps) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
x |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) eps) (/.f64 #s(literal 1/2 binary64) x))) |
eps |
(*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 x eps)) |
(*.f64 x (/.f64 #s(literal 2 binary64) eps)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) eps) |
#s(literal 2 binary64) |
(/.f64 x eps) |
(*.f64 x (/.f64 #s(literal 1 binary64) eps)) |
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.9% | (/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 99.6% | (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) eps) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) eps) x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) x) |
| accuracy | 100.0% | (hypot.f64 x (sqrt.f64 (neg.f64 eps))) | |
| accuracy | 100.0% | (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) | |
| accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) | |
| ✓ | accuracy | 99.7% | (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
| 86.0ms | 198× | 0 | valid |
| 34.0ms | 58× | 0 | invalid |
Compiled 128 to 24 computations (81.3% saved)
ival-div: 32.0ms (58.2% of total)ival-mult: 11.0ms (20% of total)ival-hypot: 4.0ms (7.3% of total)ival-sqrt: 2.0ms (3.6% of total)ival-neg: 2.0ms (3.6% of total)ival-add: 1.0ms (1.8% of total)ival-sub: 1.0ms (1.8% of total)const: 1.0ms (1.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))> |
#<alt (*.f64 #s(literal -2 binary64) x)> |
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) eps) x)> |
#<alt (/.f64 #s(literal 1 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
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#<alt (*.f64 #s(literal -2 binary64) x)> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))> |
#<alt (/.f64 #s(literal -1/2 binary64) x)> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1/2 binary64)) x)> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1/2 binary64)) x)> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1/2 binary64)) x)> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))> |
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps)> |
#<alt (/.f64 #s(literal -1/2 binary64) x)> |
#<alt (/.f64 #s(literal -1/2 binary64) x)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | eps | @ | 0 | (* eps (- (* 2 (/ x eps)) (* 1/2 (/ 1 x)))) |
| 1.0ms | x | @ | -inf | (* eps (/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))) |
| 1.0ms | eps | @ | -inf | (* eps (- (* 2 (/ x eps)) (* 1/2 (/ 1 x)))) |
| 1.0ms | eps | @ | inf | (* eps (/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))) |
| 0.0ms | eps | @ | inf | (* eps (- (* 2 (/ x eps)) (* 1/2 (/ 1 x)))) |
| 1× | batch-egg-rewrite |
| 927× | log1p-expm1-u |
| 198× | expm1-log1p-u |
| 195× | add-exp-log |
| 195× | add-log-exp |
| 194× | add-cube-cbrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 259 |
| 1 | 470 | 231 |
| 2 | 6586 | 231 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 #s(literal -2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) x) |
(/.f64 #s(literal 1 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) #s(literal 1 binary64)) |
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) |
(/.f64 eps (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) |
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) |
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) |
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) |
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) |
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64)))) |
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64)))) |
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) eps) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) |
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 eps x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps))) |
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) eps)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x eps)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 eps x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 eps x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) #s(literal 1 binary64))) |
(/.f64 x eps) |
(/.f64 #s(literal -1 binary64) (/.f64 eps x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps x))) |
(/.f64 (neg.f64 x) eps) |
(/.f64 (neg.f64 (neg.f64 x)) eps) |
(/.f64 (/.f64 x (sqrt.f64 eps)) (sqrt.f64 eps)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) eps) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) eps) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps)) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps)) |
(pow.f64 (/.f64 x eps) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 eps x) #s(literal -1 binary64)) |
(neg.f64 (/.f64 x eps)) |
(sqrt.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 x eps))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x eps)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x eps)))) |
(cbrt.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 x eps))) |
(log1p.f64 (expm1.f64 (/.f64 x eps))) |
(exp.f64 (log.f64 (/.f64 x eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 eps))) |
(*.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 eps) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 eps) #s(literal -1 binary64))) |
(pow.f64 eps #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 eps)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(literal 1 binary64) eps)) |
(sqrt.f64 (pow.f64 eps #s(literal -2 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) eps))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) eps)))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) eps))) |
(exp.f64 (neg.f64 (log.f64 eps))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 eps)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))) |
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
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(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))) |
(+.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(+.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 eps (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) eps)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (pow.f64 eps #s(literal -1/2 binary64)) (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (cbrt.f64 eps))) |
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (cbrt.f64 eps))) |
(*.f64 (/.f64 eps (sqrt.f64 eps)) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 eps))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 eps)) (/.f64 eps (sqrt.f64 eps))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (cbrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 eps))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (cbrt.f64 eps))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 eps)) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 eps))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) eps) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 eps)) (sqrt.f64 eps)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) eps) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps)) |
(pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))) |
(exp.f64 (-.f64 (log.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (log.f64 eps))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal -1/2 binary64) x)) |
| 1× | egg-herbie |
| 530× | fma-define |
| 514× | associate-*r* |
| 433× | associate-*l* |
| 290× | associate-*r/ |
| 238× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 999 | 17795 |
| 1 | 2541 | 15819 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
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(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 eps (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) eps)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (pow.f64 eps #s(literal -1/2 binary64)) (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 eps))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (cbrt.f64 eps))) |
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (cbrt.f64 eps))) |
(*.f64 (/.f64 eps (sqrt.f64 eps)) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 eps))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 eps)) (/.f64 eps (sqrt.f64 eps))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (cbrt.f64 eps))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 eps))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) eps)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (cbrt.f64 eps))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 eps)) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 eps))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) eps) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 eps)) (sqrt.f64 eps)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) eps) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps)) |
(pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))) |
(exp.f64 (-.f64 (log.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (log.f64 eps))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 eps (fma.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
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(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 eps #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) eps) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) x) x)) (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))) (+.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) |
(fabs.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (exp.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))) |
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (log.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (-.f64 (log.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (log.f64 eps))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)) |
Compiled 18329 to 3673 computations (80% saved)
25 alts after pruning (13 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 846 | 6 | 852 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 848 | 25 | 873 |
| Status | Accuracy | Program |
|---|---|---|
| 44.6% | (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) | |
| ✓ | 76.8% | (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| 37.3% | (/.f64 eps (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)))) | |
| 44.5% | (/.f64 eps (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps))) | |
| 5.2% | (/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) | |
| 4.9% | (/.f64 eps (*.f64 eps (-.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) | |
| 43.8% | (/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) | |
| 5.2% | (/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) | |
| ✓ | 43.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
| 43.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) | |
| ✓ | 43.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
| 3.5% | (/.f64 #s(literal -2 binary64) x) | |
| ✓ | 60.5% | (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
| ✓ | 62.3% | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| ✓ | 58.7% | (-.f64 x (sqrt.f64 (neg.f64 eps))) |
| 50.1% | (-.f64 x (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)))) | |
| 5.8% | (+.f64 #s(literal -2 binary64) x) | |
| ✓ | 43.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
| ✓ | 3.5% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | 76.7% | (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
| ✓ | 44.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
| ✓ | 5.2% | (*.f64 #s(literal -2 binary64) x) |
| 5.2% | (neg.f64 x) | |
| 4.2% | #s(literal 0 binary64) | |
| ✓ | 5.8% | #s(literal -2 binary64) |
Compiled 478 to 254 computations (46.9% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (-.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps))) |
(/.f64 eps (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
(/.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(-.f64 x (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)))) |
| Outputs |
|---|
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
3 calls:
| 10.0ms | eps |
| 9.0ms | x |
| 9.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | x |
| 99.5% | 2 | eps |
| 99.5% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (-.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps))) |
(/.f64 eps (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
(/.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
| Outputs |
|---|
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
2 calls:
| 9.0ms | eps |
| 8.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | eps |
| 99.5% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (-.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps))) |
(/.f64 eps (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
(/.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
| Outputs |
|---|
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
2 calls:
| 9.0ms | eps |
| 8.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 4 | eps |
| 99.4% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (-.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps))) |
(/.f64 eps (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))) |
(/.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
1 calls:
| 8.0ms | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (-.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps))) |
(/.f64 eps (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)))) |
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
| Outputs |
|---|
(-.f64 x (sqrt.f64 (neg.f64 eps))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
1 calls:
| 45.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (-.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 eps (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)) eps))) |
(/.f64 eps (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps x)))) |
| Outputs |
|---|
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
2 calls:
| 7.0ms | eps |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.6% | 1 | eps |
| 44.6% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x eps)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) |
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 eps (*.f64 eps (*.f64 x (/.f64 #s(literal 2 binary64) eps)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
2 calls:
| 5.0ms | eps |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 1 | x |
| 44.0% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(-.f64 x x) |
(/.f64 #s(literal -2 binary64) x) |
| Outputs |
|---|
(+.f64 #s(literal -2 binary64) x) |
2 calls:
| 4.0ms | x |
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.8% | 1 | eps |
| 5.8% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
Total -2.0b remaining (-3.3%)
Threshold costs -2b (-3.3%)
| Inputs |
|---|
#s(literal -2 binary64) |
#s(literal 0 binary64) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
#s(literal -2 binary64) |
2 calls:
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.8% | 1 | x |
| 5.8% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.69892442375252e-148 | 0.0 |
Compiled 15 to 10 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.69892442375252e-148 | 0.0 |
Compiled 15 to 10 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.69892442375252e-148 | 0.0 |
Compiled 15 to 10 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.69892442375252e-148 | 0.0 |
Compiled 15 to 10 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.2066541162925445e-74 | 1.4197610081861647e-74 |
| 2.0ms | 22× | 0 | valid |
| 1.0ms | 10× | 1 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 59 to 42 computations (28.8% saved)
ival-sqrt: 1.0ms (41.8% of total)ival-mult: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 11× | +-commutative |
| 8× | sub-neg |
| 8× | *-commutative |
| 4× | neg-sub0 |
| 4× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 642 |
| 1 | 68 | 642 |
| 2 | 80 | 642 |
| 3 | 87 | 642 |
| 4 | 90 | 642 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 x #s(literal 7129625917170701/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(+.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
| Outputs |
|---|
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal 7129625917170701/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x)))) |
(if (<=.f64 x #s(literal 7129625917170701/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) |
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal -2 binary64) x) |
(+.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| 759× | log1p-expm1-u |
| 759× | expm1-log1p-u |
| 639× | fma-define |
| 628× | unpow-prod-down |
| 585× | fma-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1077 | 7420 |
| 1 | 4340 | 7420 |
| 0 | 1062 | 21806 |
| 1 | 2814 | 20342 |
| 0 | 12 | 84 |
| 1 | 150 | 84 |
| 2 | 2114 | 80 |
| 0 | 917 | 8589955054 |
| 1 | 2128 | 8589953875 |
| 2 | 6462 | 8589953037 |
| 1× | fuel |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | unsound |
Compiled 745 to 209 computations (71.9% saved)
Compiled 374 to 100 computations (73.3% saved)
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