
Time bar (total: 4.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 8 to 6 computations (25% saved)
ival-sub: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 488.0ms | 8256× | 0 | valid |
ival-sub: 94.0ms (43.2% of total)ival-sqrt: 61.0ms (28.1% of total)ival-fabs: 52.0ms (23.9% of total)const: 7.0ms (3.2% of total)backward-pass: 2.0ms (0.9% of total)| 1× | egg-herbie |
| 60× | fma-neg |
| 21× | sub-neg |
| 14× | fma-define |
| 11× | distribute-lft-neg-in |
| 11× | cancel-sign-sub-inv |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 171 |
| 1 | 43 | 155 |
| 2 | 85 | 155 |
| 3 | 172 | 155 |
| 4 | 242 | 155 |
| 5 | 273 | 155 |
| 6 | 279 | 155 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))) |
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))) |
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))) |
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))) |
(sqrt.f64 (fabs.f64 (+.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y)))) |
(sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y))) |
(sqrt.f64 (fabs.f64 (+.f64 x y))) |
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))) |
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y)))) |
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 x (neg.f64 y))))) |
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 (neg.f64 x) y)))) |
(neg.f64 (sqrt.f64 (fabs.f64 (+.f64 x y)))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (fabs.f64 (-.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 30.0ms | 512× | 0 | valid |
Compiled 41 to 17 computations (58.5% saved)
ival-sub: 4.0ms (33.5% of total)ival-sqrt: 4.0ms (33.5% of total)ival-fabs: 3.0ms (25.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (fabs.f64 (-.f64 y x))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 y x) |
| ✓ | cost-diff | 0 | (fabs.f64 (-.f64 y x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fabs.f64 (-.f64 y x))) |
| ✓ | accuracy | 100.0% | (-.f64 y x) |
| ✓ | accuracy | 100.0% | (fabs.f64 (-.f64 y x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fabs.f64 (-.f64 y x))) |
| 39× | fma-neg |
| 17× | fma-define |
| 16× | sub-neg |
| 13× | associate--r+ |
| 10× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 59 |
| 1 | 15 | 59 |
| 2 | 22 | 59 |
| 3 | 32 | 59 |
| 4 | 53 | 59 |
| 5 | 105 | 59 |
| 6 | 175 | 59 |
| 7 | 211 | 59 |
| 8 | 234 | 59 |
| 9 | 239 | 59 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
| 16.0ms | 256× | 0 | valid |
Compiled 17 to 6 computations (64.7% saved)
ival-fabs: 3.0ms (41.4% of total)ival-sub: 2.0ms (27.6% of total)ival-sqrt: 2.0ms (27.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (fabs.f64 (-.f64 y x)))> |
#<alt (fabs.f64 (-.f64 y x))> |
#<alt (-.f64 y x)> |
| Outputs |
|---|
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))> |
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))> |
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))> |
#<alt (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))> |
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))> |
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))> |
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))> |
#<alt (sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))> |
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))> |
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))> |
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))> |
#<alt (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))> |
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))> |
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))> |
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))> |
#<alt (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))> |
#<alt y> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 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 binary64) (/.f64 y x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (sqrt (fabs (- y x))) |
| 0.0ms | x | @ | inf | (sqrt (fabs (- y x))) |
| 0.0ms | y | @ | -inf | (sqrt (fabs (- y x))) |
| 0.0ms | x | @ | -inf | (sqrt (fabs (- y x))) |
| 0.0ms | y | @ | inf | (sqrt (fabs (- y x))) |
| 1× | batch-egg-rewrite |
| 566× | prod-diff |
| 518× | log1p-expm1-u |
| 518× | expm1-log1p-u |
| 441× | pow1 |
| 422× | unpow-prod-down |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 120 | 43 |
| 2 | 1625 | 43 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x))))) |
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 x (neg.f64 y)) |
(+.f64 x (*.f64 #s(literal -1 binary64) y)) |
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)) |
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) y y)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)) |
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)) |
(+.f64 (neg.f64 x) y) |
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 0 binary64) (-.f64 y x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x))))) |
(-.f64 y x) |
(-.f64 x y) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (-.f64 y x) #s(literal 1 binary64)) |
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x)))) |
(*.f64 #s(literal 1 binary64) (-.f64 y x)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 y x))) |
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(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) y) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (+.f64 (neg.f64 x) x)) |
| 1× | egg-herbie |
| 818× | times-frac |
| 285× | exp-prod |
| 277× | fma-neg |
| 268× | distribute-lft-in |
| 241× | distribute-rgt-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 466 | 8589946389 |
| 1 | 928 | 8589945227 |
| 2 | 2252 | 8589944963 |
| 3 | 7416 | 8589944939 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -1 binary64) x) |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
y |
(+.f64 y (*.f64 #s(literal -1 binary64) x)) |
(+.f64 y (*.f64 #s(literal -1 binary64) x)) |
(+.f64 y (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x))))) |
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 x (neg.f64 y)) |
(+.f64 x (*.f64 #s(literal -1 binary64) y)) |
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))) |
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)) |
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) y y)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)) |
(+.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) x x)) |
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)) |
(+.f64 (neg.f64 x) y) |
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 0 binary64) (-.f64 y x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x))))) |
(-.f64 y x) |
(-.f64 x y) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 y x))) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 y x))) |
(*.f64 (-.f64 y x) #s(literal 1 binary64)) |
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) |
(*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x)))) |
(*.f64 #s(literal 1 binary64) (-.f64 y x)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 y x)) |
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (+.f64 y x))) |
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(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (+.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (+.f64 (neg.f64 x) x)) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fabs.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fabs.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(+.f64 y (*.f64 #s(literal -1 binary64) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(+.f64 y (*.f64 #s(literal -1 binary64) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(+.f64 y (*.f64 #s(literal -1 binary64) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y x))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))))) |
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/2 binary64)) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64))) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x y))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 y x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 x y))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x y))))) |
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (-.f64 y x)) |
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(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1 binary64) x x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (-.f64 y x))) (+.f64 (neg.f64 x) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 #s(literal -1 binary64) x y) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y)) |
(-.f64 x y) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y)) |
(-.f64 x y) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)) |
(-.f64 x y) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) x x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) x x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (+.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) x x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 0 binary64)) |
Compiled 3585 to 781 computations (78.2% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 2 | 296 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 295 | 2 | 297 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.7% | (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
| ▶ | 100.0% | (sqrt.f64 (-.f64 y x)) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| ✓ | cost-diff | 0 | (cbrt.f64 (-.f64 y x)) |
| ✓ | cost-diff | 0 | (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
| cost-diff | 0 | (-.f64 y x) | |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 y x)) |
| accuracy | 100.0% | (-.f64 y x) | |
| ✓ | accuracy | 99.3% | (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
| ✓ | accuracy | 99.2% | (cbrt.f64 (-.f64 y x)) |
| accuracy | 100.0% | (-.f64 y x) | |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 y x)) |
| 39× | fma-define |
| 32× | fma-neg |
| 12× | sub-neg |
| 10× | distribute-rgt-in |
| 10× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 100 |
| 1 | 15 | 100 |
| 2 | 20 | 100 |
| 3 | 28 | 100 |
| 4 | 38 | 100 |
| 5 | 55 | 100 |
| 6 | 93 | 100 |
| 7 | 133 | 100 |
| 8 | 182 | 100 |
| 9 | 217 | 100 |
| 10 | 243 | 100 |
| 11 | 245 | 100 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
(cbrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#s(literal 3/2 binary64) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
(cbrt.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
#s(literal 3/2 binary64) |
| 29.0ms | 256× | 0 | valid |
Compiled 28 to 8 computations (71.4% saved)
ival-pow: 7.0ms (43.7% of total)ival-sub: 4.0ms (24.9% of total)ival-sqrt: 3.0ms (18.7% of total)ival-cbrt: 2.0ms (12.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (-.f64 y x))> |
#<alt (cbrt.f64 (-.f64 y x))> |
#<alt (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64))> |
| Outputs |
|---|
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (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) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (sqrt.f64 y)> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))> |
#<alt (sqrt.f64 y)> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #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) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 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 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 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 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))> |
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))> |
#<alt (cbrt.f64 y)> |
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))> |
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))))))))> |
#<alt (*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64)))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 y))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 10 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))> |
#<alt (cbrt.f64 y)> |
#<alt (+.f64 (cbrt.f64 y) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64)) x)))> |
#<alt (+.f64 (cbrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64)) x)))))> |
#<alt (+.f64 (cbrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/9 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal -1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/9 binary64))))))))> |
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 23 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (cbrt.f64 x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64)))))))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (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) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (sqrt.f64 y)> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64))))))))> |
#<alt (sqrt.f64 y)> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #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) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 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 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 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 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | x | @ | -inf | (cbrt (- y x)) |
| 2.0ms | x | @ | inf | (cbrt (- y x)) |
| 2.0ms | y | @ | -inf | (cbrt (- y x)) |
| 2.0ms | y | @ | inf | (cbrt (- y x)) |
| 2.0ms | x | @ | 0 | (cbrt (- y x)) |
| 1× | batch-egg-rewrite |
| 528× | log1p-expm1-u |
| 528× | expm1-log1p-u |
| 503× | unpow-prod-down |
| 435× | pow1 |
| 359× | prod-diff |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 1 | 141 | 51 |
| 2 | 1648 | 51 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(cbrt.f64 (-.f64 y x)) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x))))) |
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 9/2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
(+.f64 #s(literal 0 binary64) (cbrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 y x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/3 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (+.f64 y x))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))) |
(pow.f64 (-.f64 y x) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2/3 binary64)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 y x)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (cbrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x))))) |
(sqrt.f64 (-.f64 y x)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 704× | distribute-lft-in |
| 691× | distribute-rgt-in |
| 497× | associate-*r* |
| 477× | *-commutative |
| 459× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 30064782902 |
| 1 | 1725 | 30064782546 |
| 2 | 5646 | 30064782446 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (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) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #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 x #s(literal 5 binary64)))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(sqrt.f64 y) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) |
(sqrt.f64 y) |
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))) |
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #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) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 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 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 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 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))) |
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))) |
(cbrt.f64 y) |
(*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))) |
(*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))))))))) |
(*.f64 y (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64)))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 y))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 10 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))))) |
(cbrt.f64 y) |
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(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (cbrt.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) y))) (pow.f64 x #s(literal 3 binary64))))))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
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(sqrt.f64 y) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)) (sqrt.f64 #s(literal -1 binary64)))))))) |
(sqrt.f64 y) |
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))) |
(+.f64 (sqrt.f64 y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #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) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 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 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 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 x #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x))))) |
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 9/2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
(+.f64 #s(literal 0 binary64) (cbrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 y x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/3 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (+.f64 y x))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))) |
(pow.f64 (-.f64 y x) #s(literal 1/3 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2/3 binary64)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 y x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 y x)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (cbrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x))))) |
(sqrt.f64 (-.f64 y x)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
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(sqrt.f64 y) |
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 y) |
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(sqrt.f64 y) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
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(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
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(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
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(+.f64 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) (*.f64 y (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)))))) (+.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -5/27 binary64)) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))) y)))) |
(+.f64 (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) (*.f64 y (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 y (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))) y)) (*.f64 y (*.f64 y (*.f64 (*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -5/27 binary64)) (/.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
(cbrt.f64 y) |
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(*.f64 y (fma.f64 #s(literal -1/3 binary64) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) |
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(cbrt.f64 y) |
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(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (cbrt.f64 x)) |
(neg.f64 (cbrt.f64 x)) |
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(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
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(sqrt.f64 y) |
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(sqrt.f64 y) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
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(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (hypot.f64 y (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y))) (sqrt.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 5 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 4 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))))) |
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 5/4 binary64))) (cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x y))) |
(/.f64 (hypot.f64 y (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x y))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 y x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x y))))) |
(sqrt.f64 (-.f64 y x)) |
(fabs.f64 (sqrt.f64 (-.f64 y x))) |
(sqrt.f64 (-.f64 y x)) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (-.f64 y x)) |
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y x)))) |
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x))) |
(sqrt.f64 (-.f64 y x)) |
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(sqrt.f64 (-.f64 y x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (-.f64 y x))) #s(literal 3/4 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) #s(literal 2 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x)) (*.f64 #s(literal 3/4 binary64) (log.f64 (cbrt.f64 (-.f64 y x)))))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x))))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 y x)) (*.f64 #s(literal 3/4 binary64) (log.f64 (cbrt.f64 (-.f64 y x)))))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/4 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3/4 binary64)))) |
(sqrt.f64 (-.f64 y x)) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/3 binary64)))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64))) (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
Compiled 7048 to 1346 computations (80.9% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 2 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 311 | 4 | 315 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.7% | (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 y x)) |
| ▶ | 47.9% | (sqrt.f64 (neg.f64 x)) |
| ▶ | 54.0% | (sqrt.f64 y) |
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 y) |
| 3× | sub-neg |
| 2× | fma-define |
| 2× | +-commutative |
| 1× | *-commutative |
| 1× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 15 | 36 |
| 2 | 17 | 36 |
| 3 | 19 | 36 |
| 4 | 24 | 36 |
| 5 | 28 | 36 |
| 6 | 33 | 36 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 y) |
y |
(sqrt.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
| Outputs |
|---|
(sqrt.f64 y) |
y |
(sqrt.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
| 7.0ms | 142× | 0 | invalid |
| 8.0ms | 114× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-sqrt: 4.0ms (61.9% of total)ival-neg: 3.0ms (46.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 y)> |
#<alt (neg.f64 x)> |
#<alt (sqrt.f64 (neg.f64 x))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt (neg x)) |
| 0.0ms | y | @ | -inf | (sqrt y) |
| 0.0ms | x | @ | inf | (sqrt (neg x)) |
| 0.0ms | y | @ | 0 | (sqrt y) |
| 0.0ms | y | @ | inf | (sqrt y) |
| 1× | batch-egg-rewrite |
| 379× | unpow-prod-down |
| 301× | log1p-expm1-u |
| 301× | expm1-log1p-u |
| 285× | add-exp-log |
| 277× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 107 | 20 |
| 2 | 1155 | 20 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 y) |
(neg.f64 x) |
(sqrt.f64 (neg.f64 x)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/8 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))))) |
(pow.f64 y #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (sqrt.f64 y))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 y)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y)))) |
(fabs.f64 (sqrt.f64 y)) |
(fabs.f64 (neg.f64 (sqrt.f64 y))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) |
(log.f64 (exp.f64 (sqrt.f64 y))) |
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 y))) |
(log1p.f64 (expm1.f64 (sqrt.f64 y))) |
(exp.f64 (log.f64 (sqrt.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x)))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (E.f64) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal 2 binary64))) |
(fabs.f64 x) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x #s(literal 3 binary64))) |
x |
(expm1.f64 (log1p.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 x) (sqrt.f64 (neg.f64 (cbrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (sqrt.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (sqrt.f64 x)))) |
(fabs.f64 (sqrt.f64 x)) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 873× | fma-neg |
| 678× | fma-define |
| 387× | distribute-lft-in |
| 369× | prod-exp |
| 320× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 408 | 4262 |
| 1 | 689 | 3673 |
| 2 | 1580 | 3584 |
| 3 | 6019 | 3584 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 y) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/8 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))))) |
(pow.f64 y #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (sqrt.f64 y))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 y)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y)))) |
(fabs.f64 (sqrt.f64 y)) |
(fabs.f64 (neg.f64 (sqrt.f64 y))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))) |
(log.f64 (exp.f64 (sqrt.f64 y))) |
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 y))) |
(log1p.f64 (expm1.f64 (sqrt.f64 y))) |
(exp.f64 (log.f64 (sqrt.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x)))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (E.f64) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal 2 binary64))) |
(fabs.f64 x) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 (neg.f64 (cbrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 x) (sqrt.f64 (neg.f64 (cbrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (sqrt.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (sqrt.f64 x)))) |
(fabs.f64 (sqrt.f64 x)) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 x))) |
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(expm1.f64 (log1p.f64 (sqrt.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (cbrt.f64 y) (pow.f64 y #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (cbrt.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5/6 binary64)))) |
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (cbrt.f64 #s(literal -1 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) |
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) |
(sqrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(sqrt.f64 x) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 x) |
(pow.f64 (E.f64) (log.f64 (sqrt.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(sqrt.f64 x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (sqrt.f64 x)))) |
(fabs.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(sqrt.f64 x) |
(log.f64 (exp.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) |
(sqrt.f64 x) |
(expm1.f64 (log1p.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(log1p.f64 (expm1.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(sqrt.f64 x) |
Compiled 1759 to 555 computations (68.4% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 0 | 214 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 214 | 4 | 218 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.7% | (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 y x)) |
| ✓ | 47.9% | (sqrt.f64 (neg.f64 x)) |
| ✓ | 54.0% | (sqrt.f64 y) |
Compiled 50 to 32 computations (36% saved)
| Inputs |
|---|
(sqrt.f64 y) |
(sqrt.f64 (neg.f64 x)) |
(sqrt.f64 (-.f64 y x)) |
(sqrt.f64 (fabs.f64 (-.f64 x y))) |
(sqrt.f64 (fabs.f64 (-.f64 y x))) |
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3/2 binary64)) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
5 calls:
| 15.0ms | y |
| 3.0ms | (fabs.f64 (-.f64 x y)) |
| 3.0ms | (-.f64 x y) |
| 3.0ms | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (sqrt.f64 (fabs.f64 (-.f64 x y))) |
| 100.0% | 1 | (fabs.f64 (-.f64 x y)) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
(sqrt.f64 y) |
(sqrt.f64 (neg.f64 x)) |
| Outputs |
|---|
(sqrt.f64 (neg.f64 x)) |
(sqrt.f64 y) |
2 calls:
| 2.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 2 | x |
| 85.0% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(sqrt.f64 y) |
| Outputs |
|---|
(sqrt.f64 y) |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | y |
| 54.0% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -1.3936734077857404e-146 | -1.905365555861129e-148 |
| 5.0ms | 112× | 0 | valid |
Compiled 89 to 72 computations (19.1% saved)
ival-sub: 1.0ms (43.1% of total)ival-fabs: 1.0ms (43.1% of total)ival-sqrt: 1.0ms (43.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | sub-neg |
| 2× | +-commutative |
| 1× | *-commutative |
| 1× | neg-sub0 |
| 1× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 57 |
| 1 | 24 | 57 |
| 2 | 27 | 57 |
| 3 | 28 | 57 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(if (<=.f64 x #s(literal -5623642243178995/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(sqrt.f64 y) |
| Outputs |
|---|
(sqrt.f64 (-.f64 y x)) |
(if (<=.f64 x #s(literal -5623642243178995/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(sqrt.f64 y) |
| 818× | times-frac |
| 285× | exp-prod |
| 277× | fma-neg |
| 268× | distribute-lft-in |
| 241× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 466 | 8589946389 |
| 1 | 928 | 8589945227 |
| 2 | 2252 | 8589944963 |
| 3 | 7416 | 8589944939 |
| 0 | 24 | 171 |
| 1 | 43 | 155 |
| 2 | 85 | 155 |
| 3 | 172 | 155 |
| 4 | 242 | 155 |
| 5 | 273 | 155 |
| 6 | 279 | 155 |
| 1× | done |
| 1× | saturated |
| 1× | node limit |
Compiled 96 to 50 computations (47.9% saved)
Compiled 72 to 46 computations (36.1% saved)
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