
Time bar (total: 4.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 66.7% | 62.4% | 31.2% | 0.1% | 0% | 6.2% | 0% | 6 |
| 75% | 65.6% | 21.9% | 0.1% | 0% | 12.5% | 0% | 7 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 14% | 0% | 8 |
| 85.7% | 70.2% | 11.7% | 0.1% | 0% | 18% | 0% | 9 |
| 88.9% | 71.8% | 9% | 0.1% | 0% | 19.1% | 0% | 10 |
| 92.3% | 72.6% | 6% | 0.1% | 0% | 21.3% | 0% | 11 |
| 94.1% | 73.4% | 4.6% | 0.1% | 0% | 22% | 0% | 12 |
Compiled 9 to 6 computations (33.3% saved)
ival-add: 3.0ms (32.4% of total)ival-mult: 3.0ms (32.4% of total)ival-sqrt: 3.0ms (32.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 945.0ms | 8256× | 0 | valid |
| 84.0ms | 305× | 0 | invalid |
ival-add: 105.0ms (37% of total)ival-mult: 93.0ms (32.8% of total)ival-sqrt: 76.0ms (26.8% of total)const: 7.0ms (2.5% of total)backward-pass: 3.0ms (1.1% of total)| 1× | egg-herbie |
| 110× | fma-neg |
| 78× | fma-define |
| 30× | sub-neg |
| 18× | associate--r+ |
| 17× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 170 |
| 1 | 46 | 170 |
| 2 | 83 | 170 |
| 3 | 162 | 170 |
| 4 | 268 | 170 |
| 5 | 361 | 170 |
| 6 | 458 | 170 |
| 7 | 512 | 170 |
| 8 | 526 | 170 |
| 9 | 529 | 170 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)) |
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))) |
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))) |
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))) |
(sqrt.f64 (+.f64 (*.f64 y y) x)) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (fma.f64 x x y)) |
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (fma.f64 x x y)) |
(sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y)) |
(sqrt.f64 (fma.f64 x x y)) |
(sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y))) |
(sqrt.f64 (-.f64 (*.f64 x x) y)) |
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))) |
(neg.f64 (sqrt.f64 (fma.f64 x x y))) |
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (neg.f64 y)))) |
(neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y))) |
(sqrt.f64 (+.f64 (*.f64 y y) x)) |
(sqrt.f64 (fma.f64 y y x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 73 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) y) |
| 30.0ms | 512× | 0 | valid |
Compiled 46 to 17 computations (63% saved)
ival-mult: 5.0ms (42% of total)ival-sqrt: 4.0ms (33.6% of total)ival-add: 3.0ms (25.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 7 to 4 computations (42.9% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.4% | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -6272 | (+.f64 (*.f64 x x) y) |
| ✓ | cost-diff | -6272 | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x x) y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 73.4% | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 1× | fma-define |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 14 | 61 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(+.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (fma.f64 x x y)) |
(+.f64 (*.f64 x x) y) |
(fma.f64 x x y) |
(*.f64 x x) |
x |
y |
| 15.0ms | 256× | 0 | valid |
Compiled 19 to 6 computations (68.4% saved)
ival-mult: 3.0ms (46.9% of total)ival-sqrt: 2.0ms (31.2% of total)ival-add: 1.0ms (15.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (+.f64 (*.f64 x x) y))> |
#<alt (*.f64 x x)> |
#<alt (+.f64 (*.f64 x x) y)> |
| Outputs |
|---|
#<alt (sqrt.f64 y)> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 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 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (sqrt.f64 y)> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (pow.f64 x #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 4 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 (pow.f64 x #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 4 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 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt y> |
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 y (pow.f64 x #s(literal 2 binary64)))> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (sqrt (+ (* x x) y)) |
| 1.0ms | y | @ | inf | (sqrt (+ (* x x) y)) |
| 1.0ms | x | @ | 0 | (sqrt (+ (* x x) y)) |
| 1.0ms | x | @ | inf | (sqrt (+ (* x x) y)) |
| 0.0ms | y | @ | 0 | (sqrt (+ (* x x) y)) |
| 1× | batch-egg-rewrite |
| 507× | log1p-expm1-u |
| 507× | expm1-log1p-u |
| 495× | prod-diff |
| 446× | unpow-prod-down |
| 435× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 118 | 45 |
| 2 | 1457 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(*.f64 x x) |
(+.f64 (*.f64 x x) y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (hypot.f64 x (sqrt.f64 y))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 x (sqrt.f64 y)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y))) |
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x (sqrt.f64 y))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) |
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64)) |
(fabs.f64 (hypot.f64 x (sqrt.f64 y))) |
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) |
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) |
(hypot.f64 x (sqrt.f64 y)) |
(hypot.f64 (sqrt.f64 y) x) |
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y)))) |
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 (fma.f64 x x y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x y) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x y)) |
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64))) |
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) (cbrt.f64 (fma.f64 x x y))) |
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 y)))) |
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/6 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 x x y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64)) |
(pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) |
(log.f64 (exp.f64 (fma.f64 x x y))) |
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x x y))) |
(log1p.f64 (expm1.f64 (fma.f64 x x y))) |
(exp.f64 (log.f64 (fma.f64 x x y))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(fma.f64 x x y) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) y) |
(fma.f64 #s(literal 1 binary64) y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) y) |
| 1× | egg-herbie |
| 489× | distribute-lft-in |
| 464× | fma-neg |
| 456× | distribute-rgt-in |
| 362× | *-commutative |
| 301× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 6351 |
| 1 | 966 | 6219 |
| 2 | 2699 | 6195 |
| 3 | 6562 | 6192 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 y) |
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 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 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))) |
x |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(sqrt.f64 y) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (pow.f64 x #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 4 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 (pow.f64 x #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))))))) |
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(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(fma.f64 x x y) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) y) |
(fma.f64 #s(literal 1 binary64) y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) y) |
| Outputs |
|---|
(sqrt.f64 y) |
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(+.f64 (sqrt.f64 y) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 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 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) (sqrt.f64 y)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)))) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))))) |
(+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64)))))) (sqrt.f64 y)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))) (sqrt.f64 y)) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 y)) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x)) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))))) |
x |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 x (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x) |
(+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 x (*.f64 y (fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) x) |
(sqrt.f64 y) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (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)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #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) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #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)))) |
(sqrt.f64 y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #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)))))) |
(neg.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #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)))))) |
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y |
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(fma.f64 x x y) |
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) |
(cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x x y))) |
(fma.f64 x x y) |
(log1p.f64 (expm1.f64 (fma.f64 x x y))) |
(fma.f64 x x y) |
(exp.f64 (log.f64 (fma.f64 x x y))) |
(fma.f64 x x y) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64))) |
(fma.f64 x x y) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 2 binary64))) |
(fma.f64 x x y) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) #s(literal 3 binary64))) |
(fma.f64 x x y) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 x x y) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) #s(literal 6 binary64))) |
(cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x x y) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 x x y) |
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y))))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (log.f64 (hypot.f64 x (sqrt.f64 y))))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))) |
(fma.f64 x x y) |
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) #s(literal 1 binary64)))) |
(fma.f64 x x y) |
(fma.f64 x x y) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) y) |
(fma.f64 x x y) |
(fma.f64 y #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x y) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) y) |
(fma.f64 x x y) |
(fma.f64 #s(literal 1 binary64) y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) y) |
(fma.f64 x x y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(fma.f64 x x y) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x y) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x y) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) y) |
(fma.f64 x x y) |
Compiled 4061 to 833 computations (79.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 4 | 263 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 259 | 5 | 264 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.4% | (hypot.f64 (sqrt.f64 y) x) |
| ▶ | 66.9% | (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | 73.4% | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| ▶ | 35.8% | (sqrt.f64 y) |
| ▶ | 66.8% | x |
Compiled 30 to 20 computations (33.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 y) |
| ✓ | cost-diff | 0 | (hypot.f64 (sqrt.f64 y) x) |
| ✓ | cost-diff | -6272 | (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 y) |
| ✓ | accuracy | 100.0% | (hypot.f64 (sqrt.f64 y) x) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 y) |
| 12× | fma-define |
| 9× | *-commutative |
| 5× | associate-*l* |
| 4× | associate-/l* |
| 4× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 118 |
| 1 | 22 | 114 |
| 2 | 30 | 114 |
| 3 | 41 | 114 |
| 4 | 54 | 114 |
| 5 | 66 | 114 |
| 6 | 68 | 114 |
| 1× | saturated |
| Inputs |
|---|
x |
(sqrt.f64 y) |
y |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
(hypot.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
x |
| Outputs |
|---|
x |
(sqrt.f64 y) |
y |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
(hypot.f64 (sqrt.f64 y) x) |
(hypot.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
x |
| 19.0ms | 170× | 0 | valid |
| 10.0ms | 86× | 0 | invalid |
Compiled 33 to 9 computations (72.7% saved)
ival-hypot: 5.0ms (39% of total)ival-div: 2.0ms (15.6% of total)ival-mult: 2.0ms (15.6% of total)ival-sqrt: 2.0ms (15.6% of total)ival-add: 1.0ms (7.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 y)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (/.f64 y x)> |
#<alt (hypot.f64 (sqrt.f64 y) 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 1/2 binary64) (/.f64 y x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (sqrt.f64 y)> |
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (pow.f64 x #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 4 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 (pow.f64 x #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 4 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 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 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 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))> |
#<alt (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))))))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | x | @ | 0 | (sqrt (+ (* (sqrt y) (sqrt y)) (* x x))) |
| 1.0ms | y | @ | -inf | (/ y x) |
| 1.0ms | y | @ | 0 | (sqrt y) |
| 1.0ms | y | @ | 0 | (* 1/2 (/ y x)) |
| 1.0ms | y | @ | -inf | (sqrt y) |
| 1× | batch-egg-rewrite |
| 880× | prod-diff |
| 841× | log1p-expm1-u |
| 841× | expm1-log1p-u |
| 424× | log-prod |
| 253× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 85 |
| 1 | 166 | 81 |
| 2 | 2281 | 81 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 y x) |
(hypot.f64 (sqrt.f64 y) x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) (cbrt.f64 (exp.f64 (sqrt.f64 y))))) (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 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y))) |
(pow.f64 y #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(fabs.f64 (sqrt.f64 y)) |
(log.f64 (exp.f64 (sqrt.f64 y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 y) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1/2 binary64)) x) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) x) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y x))) (cbrt.f64 (exp.f64 (/.f64 y x))))) (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 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.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 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 y x))) |
(log1p.f64 (expm1.f64 (/.f64 y x))) |
(exp.f64 (log.f64 (/.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (hypot.f64 (sqrt.f64 y) x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) x)) |
(*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) (cbrt.f64 (fma.f64 x x y))) |
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))) |
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) (sqrt.f64 (hypot.f64 (sqrt.f64 y) x))) |
(pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 x x y)) |
(log.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sqrt.f64 y) x)))) |
(cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x))) |
(log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 y) x))) |
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 479× | associate-*r/ |
| 380× | associate-*l/ |
| 229× | associate-+r+ |
| 202× | distribute-lft-neg-in |
| 189× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 476 | 7123 |
| 1 | 1040 | 6425 |
| 2 | 3303 | 6415 |
| 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 1/2 binary64) (/.f64 y x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
x |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
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(sqrt.f64 y) |
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(sqrt.f64 y) |
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x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 y))) (cbrt.f64 (exp.f64 (sqrt.f64 y))))) (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 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y))) |
(pow.f64 y #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(fabs.f64 (sqrt.f64 y)) |
(log.f64 (exp.f64 (sqrt.f64 y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 y) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (pow.f64 x #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
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(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y x)) #s(literal 1/2 binary64)) x) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) x) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y x))) (cbrt.f64 (exp.f64 (/.f64 y x))))) (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 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.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 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 y x))) |
(log1p.f64 (expm1.f64 (/.f64 y x))) |
(exp.f64 (log.f64 (/.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (hypot.f64 (sqrt.f64 y) x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x))) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 y) x)) |
(*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) (cbrt.f64 (fma.f64 x x y))) |
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 (sqrt.f64 y) x))) |
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) (sqrt.f64 (hypot.f64 (sqrt.f64 y) x))) |
(pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) |
(pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 x x y)) |
(log.f64 (exp.f64 (hypot.f64 (sqrt.f64 y) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sqrt.f64 y) x)))) |
(cbrt.f64 (pow.f64 (hypot.f64 (sqrt.f64 y) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x))) |
(log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 y) x))) |
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(neg.f64 (*.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)))) |
(neg.f64 (*.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)))) |
(neg.f64 (*.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)))) |
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (fma.f64 y #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y))) |
x |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 x (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x) |
(+.f64 x (*.f64 y (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 x (*.f64 y (fma.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) y) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) x) |
(sqrt.f64 y) |
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))) |
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))))))) |
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x |
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(expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 y) x))) |
(hypot.f64 (sqrt.f64 y) x) |
(log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 y) x))) |
(hypot.f64 (sqrt.f64 y) x) |
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x))) |
(hypot.f64 (sqrt.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 y) x)) #s(literal 1 binary64))) |
(hypot.f64 (sqrt.f64 y) x) |
Compiled 4171 to 806 computations (80.7% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 295 | 3 | 298 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 296 | 7 | 303 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.4% | (hypot.f64 (sqrt.f64 y) x) |
| ▶ | 66.9% | (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
| ▶ | 3.8% | (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 3.8% | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | 73.4% | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| ✓ | 35.8% | (sqrt.f64 y) |
| ✓ | 66.8% | x |
Compiled 44 to 30 computations (31.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -6272 | (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) | |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
| ✓ | accuracy | 98.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 99.7% | (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
| accuracy | 100.0% | (/.f64 y x) | |
| accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| 4× | fma-define |
| 3× | *-commutative |
| 2× | associate-*r/ |
| 1× | associate-*l/ |
| 1× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 148 |
| 1 | 22 | 144 |
| 2 | 25 | 144 |
| 3 | 27 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
x |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
y |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
y |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
x |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
y |
| 108.0ms | 256× | 0 | valid |
Compiled 43 to 11 computations (74.4% saved)
ival-mult: 83.0ms (90.1% of total)ival-div: 7.0ms (7.6% of total)ival-add: 1.0ms (1.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 y (/.f64 #s(literal 1/2 binary64) x))> |
#<alt (/.f64 #s(literal 1/2 binary64) x)> |
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 x y))> |
#<alt (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))> |
#<alt (/.f64 x y)> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ x y) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | y | @ | -inf | (/ x y) |
| 0.0ms | x | @ | 0 | (/ 1/2 x) |
| 0.0ms | y | @ | 0 | (/ x y) |
| 1× | batch-egg-rewrite |
| 882× | log1p-expm1-u |
| 882× | expm1-log1p-u |
| 440× | log-prod |
| 246× | fma-define |
| 191× | log-div |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 89 |
| 1 | 178 | 85 |
| 2 | 2446 | 85 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
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(expm1.f64 (log1p.f64 (/.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 507× | fma-neg |
| 454× | distribute-lft-in |
| 338× | distribute-lft-neg-in |
| 327× | exp-prod |
| 306× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 7221 |
| 1 | 913 | 7137 |
| 2 | 3403 | 7039 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
x |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) x)))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y x) (log.f64 (exp.f64 #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) |
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x))) |
(pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) |
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) |
(exp.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64))) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x) |
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) x) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x) |
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 x y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (neg.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
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(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x y) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(*.f64 (/.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(/.f64 x y) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 x y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y))) |
(/.f64 x y) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y)) |
(/.f64 x y) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x y) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(/.f64 x y) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(/.f64 x y) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x y) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y))) |
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y)) |
(/.f64 x y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y))) |
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y)) |
(/.f64 x y) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y))) |
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) |
(/.f64 x y) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 x y) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(/.f64 x y) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 x y) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 x y) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(/.f64 x y) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x y) |
(log.f64 (exp.f64 (/.f64 x y))) |
(/.f64 x y) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y)))) |
(/.f64 x y) |
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x y))))) |
(/.f64 x y) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/.f64 x y) |
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/.f64 x y) |
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 x y) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(/.f64 x y) |
(exp.f64 (log.f64 (/.f64 x y))) |
(/.f64 x y) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 x y) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64))) |
(/.f64 x y) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64))) |
(/.f64 x y) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(/.f64 x y) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(/.f64 x y) |
Compiled 3501 to 821 computations (76.5% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 314 | 3 | 317 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 314 | 10 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.4% | (hypot.f64 (sqrt.f64 y) x) |
| ▶ | 3.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 3.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
| ✓ | 66.9% | (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
| ▶ | 66.9% | (+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
| ✓ | 3.8% | (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 3.8% | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | 73.4% | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| ✓ | 35.8% | (sqrt.f64 y) |
| ✓ | 66.8% | x |
Compiled 71 to 50 computations (29.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
| cost-diff | -128 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| ✓ | cost-diff | -6144 | (+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) | |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
| accuracy | 100.0% | (/.f64 x y) | |
| accuracy | 98.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 98.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
| 7× | fma-define |
| 4× | *-commutative |
| 4× | times-frac |
| 3× | associate-*l/ |
| 3× | 1-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 206 |
| 1 | 32 | 166 |
| 2 | 44 | 166 |
| 3 | 64 | 166 |
| 4 | 69 | 166 |
| 5 | 70 | 166 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
x |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x) |
x |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
y |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
| 37.0ms | 256× | 0 | valid |
Compiled 59 to 13 computations (78% saved)
ival-div: 12.0ms (75.5% of total)ival-mult: 2.0ms (12.6% of total)ival-add: 1.0ms (6.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) x)> |
#<alt (+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)))> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (/.f64 x y)> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/ 1 y) |
| 0.0ms | x | @ | inf | (* (/ 1 y) x) |
| 0.0ms | y | @ | -inf | (+ x (/ 1/2 (* (/ 1 y) x))) |
| 0.0ms | x | @ | 0 | (+ x (/ 1/2 (* (/ 1 y) x))) |
| 0.0ms | x | @ | -inf | (+ x (/ 1/2 (* (/ 1 y) x))) |
| 1× | batch-egg-rewrite |
| 1038× | log1p-expm1-u |
| 1038× | expm1-log1p-u |
| 953× | prod-diff |
| 85× | add-exp-log |
| 84× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 89 |
| 1 | 213 | 85 |
| 2 | 2998 | 85 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x #s(literal 1 binary64)) y) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 x y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(sqrt.f64 (pow.f64 y #s(literal -2 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y)))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 580× | associate-*l/ |
| 504× | associate-/r* |
| 495× | fma-define |
| 394× | associate-/l* |
| 281× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 6588 |
| 1 | 656 | 6444 |
| 2 | 1945 | 6232 |
| 3 | 7929 | 6232 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
x |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x #s(literal 1 binary64)) y) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 x y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) |
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) x) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(sqrt.f64 (pow.f64 y #s(literal -2 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y)))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
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(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) x) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 y x))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y (*.f64 x #s(literal 2 binary64))) |
Compiled 3436 to 771 computations (77.6% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 2 | 294 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 7 | 7 |
| Total | 293 | 11 | 304 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.4% | (hypot.f64 (sqrt.f64 y) x) |
| ✓ | 3.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 3.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
| 3.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| ✓ | 66.9% | (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
| 66.9% | (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) | |
| ✓ | 3.8% | (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 3.8% | (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | 73.4% | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| ✓ | 35.8% | (sqrt.f64 y) |
| ✓ | 66.8% | x |
Compiled 156 to 82 computations (47.4% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(sqrt.f64 y) |
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(hypot.f64 (sqrt.f64 y) x) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
x |
5 calls:
| 6.0ms | (+.f64 (*.f64 x x) y) |
| 4.0ms | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 4.0ms | y |
| 4.0ms | (*.f64 x x) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | x |
| 100.0% | 2 | y |
| 100.0% | 2 | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 100.0% | 2 | (+.f64 (*.f64 x x) y) |
| 100.0% | 2 | (*.f64 x x) |
Compiled 26 to 16 computations (38.5% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(sqrt.f64 y) |
| Outputs |
|---|
(sqrt.f64 y) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
2 calls:
| 6.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | x |
| 78.9% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
| Outputs |
|---|
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
2 calls:
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 1 | y |
| 66.9% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
Total -40.4b remaining (-190.1%)
Threshold costs -40.4b (-190.1%)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
| Outputs |
|---|
x |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 1 | y |
| 66.8% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1045267761756232e+179 | 3.408115399545097e+186 |
Compiled 13 to 9 computations (30.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.2351540351697385e-63 | 4.569400173440474e-62 |
| 7.0ms | 96× | 0 | valid |
| 1.0ms | 26× | 0 | invalid |
Compiled 103 to 75 computations (27.2% saved)
ival-add: 3.0ms (58.5% of total)ival-mult: 1.0ms (19.5% of total)ival-sqrt: 1.0ms (19.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | +-commutative |
| 1× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 131 |
| 1 | 28 | 131 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 x x) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) y)) x) |
(if (<=.f64 x #s(literal 5210644015679229/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
x |
| Outputs |
|---|
(if (<=.f64 (*.f64 x x) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) y)) x) |
(if (<=.f64 x #s(literal 5210644015679229/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
x |
| 1× | fuel |
Compiled 36 to 16 computations (55.6% saved)
Compiled 240 to 122 computations (49.2% saved)
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