
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 6 computations (40% saved)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 895.0ms | 8253× | 0 | valid |
| 0.0ms | 3× | 2 | valid |
ival-mult: 196.0ms (53.8% of total)ival-add: 115.0ms (31.6% of total)ival-sub: 44.0ms (12.1% of total)const: 7.0ms (1.9% of total)backward-pass: 2.0ms (0.5% of total)| 1× | egg-herbie |
| 636× | fmm-def |
| 531× | fma-define |
| 118× | cancel-sign-sub-inv |
| 66× | distribute-lft-neg-in |
| 66× | distribute-rgt-in |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 241 |
| 1 | 68 | 217 |
| 2 | 180 | 191 |
| 3 | 548 | 174 |
| 4 | 1341 | 168 |
| 5 | 2183 | 168 |
| 6 | 2428 | 168 |
| 7 | 2435 | 168 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
(-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) |
(-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) |
(neg.f64 (-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) |
(neg.f64 (-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) |
(-.f64 (+.f64 y x) (*.f64 y x)) |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 x (-.f64 y (*.f64 x y))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 x (-.f64 y (*.f64 x y))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) |
(+.f64 (+.f64 y (neg.f64 x)) (*.f64 x y)) |
(+.f64 (*.f64 x y) (-.f64 y x)) |
(fma.f64 x y (-.f64 y x)) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y) |
(-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) |
(-.f64 (-.f64 x y) (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 x y) (-.f64 x y)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) x) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x) |
(neg.f64 (-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) |
(neg.f64 (+.f64 (+.f64 y (neg.f64 x)) (*.f64 x y))) |
(-.f64 x (+.f64 y (*.f64 x y))) |
(-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) y)) |
(-.f64 x (fma.f64 x y y)) |
(fma.f64 y (-.f64 #s(literal -1 binary64) x) x) |
(neg.f64 (-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) |
(neg.f64 (-.f64 (-.f64 x y) (*.f64 x (neg.f64 y)))) |
(-.f64 (-.f64 y x) (*.f64 x y)) |
(-.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y))) |
(-.f64 y (fma.f64 x y x)) |
(fma.f64 x (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 (+.f64 y x) (*.f64 y x)) |
(+.f64 x (-.f64 y (*.f64 x y))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 33.0ms | 512× | 0 | valid |
Compiled 45 to 17 computations (62.2% saved)
ival-mult: 5.0ms (44.7% of total)ival-sub: 3.0ms (26.8% of total)ival-add: 3.0ms (26.8% of total)const: 1.0ms (8.9% of total)backward-pass: 0.0ms (0% of total)Compiled 22 to 10 computations (54.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
| ▶ | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 17 to 10 computations (41.2% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
| ✓ | cost-diff | -6272 | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| 234× | fmm-def |
| 210× | fma-define |
| 39× | distribute-rgt-in |
| 39× | sub-neg |
| 35× | cancel-sign-sub-inv |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 115 |
| 1 | 33 | 115 |
| 2 | 60 | 101 |
| 3 | 99 | 101 |
| 4 | 195 | 101 |
| 5 | 364 | 101 |
| 6 | 618 | 101 |
| 7 | 866 | 101 |
| 8 | 973 | 101 |
| 9 | 986 | 101 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 x y) |
x |
y |
(*.f64 x y) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 y (-.f64 x (*.f64 x y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 x y) |
x |
y |
(*.f64 x y) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
(+.f64 y (-.f64 x (*.f64 x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 31 to 10 computations (67.7% saved)
ival-mult: 4.0ms (40.5% of total)ival-sub: 3.0ms (30.4% of total)ival-add: 3.0ms (30.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (-.f64 (+.f64 x y) (*.f64 x y))> |
#<alt (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)> |
#<alt (-.f64 #s(literal 1 binary64) y)> |
| Outputs |
|---|
#<alt y> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt x> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt y> |
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))> |
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))> |
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))> |
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))> |
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))> |
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))> |
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x))> |
#<alt (*.f64 y (+.f64 #s(literal 1 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 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 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 binary64) (*.f64 #s(literal -1 binary64) x)))))> |
#<alt y> |
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))> |
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))> |
#<alt (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))> |
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))> |
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))> |
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))> |
#<alt (*.f64 #s(literal -1 binary64) y)> |
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))> |
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))> |
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (- (+ x y) (* x y)) |
| 1.0ms | y | @ | -inf | (+ (* x (- 1 y)) y) |
| 1.0ms | y | @ | inf | (* x y) |
| 0.0ms | x | @ | -inf | (+ (* x (- 1 y)) y) |
| 0.0ms | x | @ | 0 | (* x y) |
| 1× | batch-egg-rewrite |
| 983× | log1p-expm1-u |
| 983× | expm1-log1p-u |
| 558× | fma-define |
| 248× | fmm-def |
| 151× | expm1-undefine |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 98 |
| 1 | 189 | 84 |
| 2 | 2840 | 84 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x y) |
(*.f64 x y) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 (+.f64 x y) #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 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)) |
(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)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x 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))) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y) |
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(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 595× | fmm-def |
| 384× | distribute-lft-neg-in |
| 332× | distribute-rgt-neg-in |
| 227× | associate-+l+ |
| 224× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 529 | 13296 |
| 1 | 1227 | 12866 |
| 2 | 3725 | 12158 |
| 1× | node limit |
| Inputs |
|---|
y |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
x |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
y |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) |
x |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(*.f64 y (+.f64 #s(literal 1 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 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 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 binary64) (*.f64 #s(literal -1 binary64) x))))) |
y |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
x |
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 (+.f64 x y) #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 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)) |
(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)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x 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))) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)) |
(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 (pow.f64 (exp.f64 y) x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))) |
(cbrt.f64 (pow.f64 (*.f64 x 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 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (+.f64 x y) (*.f64 x (neg.f64 y))) |
(+.f64 (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(+.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) (fma.f64 (neg.f64 y) x (*.f64 x y))) |
(+.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 x y))) |
(+.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 x y)) |
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) x) |
(+.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) (sqrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (+.f64 x y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y (+.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (+.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))) |
(pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)))) |
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 y) (pow.f64 (exp.f64 y) x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 y) (pow.f64 (exp.f64 y) x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)))) |
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(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (+.f64 x y)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (+.f64 x y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y (+.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (+.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (-.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))) |
(pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)))) |
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 y) (pow.f64 (exp.f64 y) x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 y) (pow.f64 (exp.f64 y) x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (exp.f64 (*.f64 x (neg.f64 y))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)) (exp.f64 (+.f64 x y)))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (exp.f64 (+.f64 x y)))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))) |
(log.f64 (*.f64 (/.f64 (exp.f64 y) (pow.f64 (exp.f64 y) x)) (exp.f64 x))) |
(log.f64 (*.f64 (/.f64 (exp.f64 y) (pow.f64 (exp.f64 y) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (exp.f64 x))) |
(log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (/.f64 (exp.f64 (+.f64 x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (pow.f64 (exp.f64 y) x))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))) |
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))) |
(exp.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 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 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (neg.f64 y))) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (log1p.f64 (neg.f64 y))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64)) |
| Outputs |
|---|
y |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
x |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))) |
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))) |
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))) |
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(*.f64 y (-.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 binary64) (*.f64 #s(literal -1 binary64) x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))) |
(*.f64 y (+.f64 (/.f64 x y) (-.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 binary64) (*.f64 #s(literal -1 binary64) x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))) |
(*.f64 y (+.f64 (/.f64 x y) (-.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 binary64) (*.f64 #s(literal -1 binary64) x))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x))) |
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) x))) |
y |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
(*.f64 x (+.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) y))) |
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(-.f64 #s(literal 1 binary64) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (neg.f64 y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 y #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) y) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) y) |
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (-.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (log1p.f64 (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
Compiled 4430 to 729 computations (83.5% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 2 | 308 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 307 | 3 | 310 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ▶ | 67.0% | (-.f64 x (*.f64 x y)) |
| ▶ | 61.3% | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
Compiled 23 to 14 computations (39.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 x y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| 136× | fma-define |
| 126× | fmm-def |
| 22× | unsub-neg |
| 22× | distribute-lft-in |
| 21× | sub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 81 |
| 1 | 26 | 81 |
| 2 | 42 | 81 |
| 3 | 75 | 80 |
| 4 | 141 | 78 |
| 5 | 271 | 78 |
| 6 | 476 | 78 |
| 7 | 582 | 78 |
| 8 | 640 | 78 |
| 9 | 647 | 78 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 x (*.f64 x y)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 y (neg.f64 x) x) |
(*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (*.f64 x y) | |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-mult: 4.0ms (53.6% of total)ival-sub: 3.0ms (40.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (-.f64 x (*.f64 x y))> |
| Outputs |
|---|
#<alt y> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 y (-.f64 (/.f64 x y) x))> |
#<alt (*.f64 y (-.f64 (/.f64 x y) x))> |
#<alt (*.f64 y (-.f64 (/.f64 x y) x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.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 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (- x (* x y)) |
| 0.0ms | y | @ | 0 | (* y (- 1 x)) |
| 0.0ms | y | @ | inf | (* y (- 1 x)) |
| 0.0ms | x | @ | inf | (* y (- 1 x)) |
| 0.0ms | y | @ | -inf | (* y (- 1 x)) |
| 1× | batch-egg-rewrite |
| 781× | log1p-expm1-u |
| 781× | expm1-log1p-u |
| 743× | prod-diff |
| 393× | log-prod |
| 289× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 155 | 48 |
| 2 | 2108 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 x (*.f64 x y)) |
| Outputs |
|---|
(+.f64 y (*.f64 x (neg.f64 y))) |
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(log.f64 (*.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (neg.f64 y))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (neg.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 x (neg.f64 y))) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (neg.f64 y))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
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(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y)))) |
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (neg.f64 y))))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (exp.f64 x))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (exp.f64 x))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(fma.f64 y (neg.f64 x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 y) x) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y x))) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (neg.f64 x) y x) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) x) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) x) |
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) x) |
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) x) |
| 1× | egg-herbie |
| 968× | times-frac |
| 476× | distribute-lft-in |
| 426× | distribute-rgt-in |
| 349× | fmm-def |
| 295× | cancel-sign-sub-inv |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 502 | 6750 |
| 1 | 1188 | 6355 |
| 2 | 3000 | 6277 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
x |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 y (-.f64 (/.f64 x y) x)) |
(*.f64 y (-.f64 (/.f64 x y) x)) |
(*.f64 y (-.f64 (/.f64 x y) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.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 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x)))) |
(+.f64 y (*.f64 x (neg.f64 y))) |
(+.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(log.f64 (*.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (neg.f64 y))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (neg.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
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(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) |
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y)))) |
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 x (neg.f64 y))))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (exp.f64 x))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (exp.f64 x))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 x) y))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(fma.f64 y (neg.f64 x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 y) x) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y x))) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (neg.f64 x) y x) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) x) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) x) |
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) x) |
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) x) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+.f64 y (*.f64 x (neg.f64 y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+.f64 y (*.f64 x (neg.f64 y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(+.f64 y (*.f64 x (neg.f64 y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x))))) |
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y))) |
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(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)) |
(fma.f64 (neg.f64 y) x x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) #s(literal 0 binary64)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) #s(literal 0 binary64)) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (fma.f64 (neg.f64 x) y (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 0 binary64) (*.f64 y x))) |
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y x))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
Compiled 4075 to 645 computations (84.2% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 3 | 272 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 269 | 6 | 275 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ✓ | 67.0% | (-.f64 x (*.f64 x y)) |
| ✓ | 61.3% | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 28.9% | (*.f64 y (neg.f64 x)) |
| ▶ | 35.2% | y |
| ▶ | 40.1% | x |
Compiled 35 to 22 computations (37.1% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 y (neg.f64 x)) |
| 38× | fma-define |
| 9× | sub-neg |
| 6× | distribute-lft-in |
| 4× | mul0-rgt |
| 4× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 1 | 17 | 41 |
| 2 | 28 | 41 |
| 3 | 39 | 41 |
| 4 | 50 | 41 |
| 5 | 67 | 41 |
| 6 | 90 | 41 |
| 7 | 107 | 41 |
| 8 | 113 | 41 |
| 9 | 125 | 41 |
| 1× | saturated |
| Inputs |
|---|
x |
y |
(*.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
| Outputs |
|---|
x |
y |
(*.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| 16.0ms | 256× | 0 | valid |
Compiled 13 to 5 computations (61.5% saved)
ival-mult: 2.0ms (50.6% of total)ival-neg: 1.0ms (25.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 y (neg.f64 x))> |
#<alt (neg.f64 x)> |
| Outputs |
|---|
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (* y (neg x)) |
| 0.0ms | x | @ | 0 | (* y (neg x)) |
| 0.0ms | x | @ | inf | (* y (neg x)) |
| 0.0ms | y | @ | inf | (* y (neg x)) |
| 0.0ms | y | @ | -inf | (* y (neg x)) |
| 1× | batch-egg-rewrite |
| 305× | unpow-prod-down |
| 278× | log1p-expm1-u |
| 278× | expm1-log1p-u |
| 265× | add-exp-log |
| 258× | add-log-exp |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 90 | 26 |
| 2 | 1085 | 2 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 0 binary64) |
| 1× | egg-herbie |
| 38× | fma-define |
| 9× | sub-neg |
| 6× | +-commutative |
| 4× | mul0-rgt |
| 4× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 506 |
| 1 | 19 | 506 |
| 2 | 30 | 506 |
| 3 | 34 | 506 |
| 4 | 42 | 506 |
| 5 | 64 | 506 |
| 6 | 81 | 506 |
| 7 | 95 | 506 |
| 8 | 114 | 506 |
| 9 | 126 | 506 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) x) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
Compiled 25 to 11 computations (56% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 1 | 6 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 5 | 7 | 12 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ✓ | 67.0% | (-.f64 x (*.f64 x y)) |
| ✓ | 61.3% | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 28.9% | (*.f64 y (neg.f64 x)) |
| ✓ | 35.2% | y |
| ✓ | 40.1% | x |
| ▶ | 2.6% | #s(literal 0 binary64) |
Compiled 38 to 25 computations (34.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 1 |
| 1× | saturated |
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
| 7.0ms | 256× | 0 | valid |
Compiled 4 to 4 computations (0% saved)
const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 0 | 7 | 7 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (+.f64 x y) (*.f64 x y)) |
| ✓ | 67.0% | (-.f64 x (*.f64 x y)) |
| ✓ | 61.3% | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 28.9% | (*.f64 y (neg.f64 x)) |
| ✓ | 35.2% | y |
| ✓ | 40.1% | x |
| ✓ | 2.6% | #s(literal 0 binary64) |
Compiled 70 to 39 computations (44.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
x |
y |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (*.f64 x y)) |
(-.f64 (+.f64 x y) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y) |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
3 calls:
| 7.0ms | x |
| 3.0ms | y |
| 3.0ms | (-.f64 (+.f64 x y) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (-.f64 (+.f64 x y) (*.f64 x y)) |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
x |
y |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (*.f64 x y)) |
| Outputs |
|---|
(-.f64 x (*.f64 x y)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | x |
| 92.5% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
x |
y |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
x |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
2 calls:
| 4.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 3 | y |
| 73.0% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
x |
y |
(*.f64 y (neg.f64 x)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
x |
y |
(*.f64 y (neg.f64 x)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 4 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
x |
y |
| Outputs |
|---|
x |
y |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | x |
| 66.3% | 2 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
x |
| Outputs |
|---|
x |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.1% | 1 | x |
| 40.1% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 1 | x |
| 2.6% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -7.29553957775548e-120 | -2.198544735543523e-120 |
| 4.0ms | 80× | 0 | valid |
Compiled 94 to 64 computations (31.9% saved)
ival-add: 1.0ms (60.7% of total)ival-mult: 1.0ms (60.7% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 65.0ms | 3.120571403350874e-60 | 1.950705899407373e-58 |
| 12.0ms | -16147.657926136133 | -0.033132358094201945 |
| 69.0ms | 256× | 0 | valid |
Compiled 197 to 144 computations (26.9% saved)
ival-add: 2.0ms (36.6% of total)ival-mult: 2.0ms (36.6% of total)ival-sub: 1.0ms (18.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 76.0ms | 1.4313127371446886e+187 | 9.25698398663631e+188 |
| 10.0ms | 3.120571403350874e-60 | 1.950705899407373e-58 |
| 11.0ms | -16147.657926136133 | -0.033132358094201945 |
| 17.0ms | 368× | 0 | valid |
Compiled 246 to 179 computations (27.2% saved)
ival-mult: 3.0ms (38.3% of total)ival-sub: 2.0ms (25.5% of total)ival-add: 2.0ms (25.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 3.120571403350874e-60 | 1.950705899407373e-58 |
| 5.0ms | 112× | 0 | valid |
Compiled 70 to 51 computations (27.1% saved)
ival-sub: 1.0ms (40.6% of total)ival-add: 1.0ms (40.6% of total)ival-mult: 1.0ms (40.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 7× | +-commutative |
| 6× | sub-neg |
| 6× | *-commutative |
| 4× | cancel-sign-sub-inv |
| 3× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 251 |
| 1 | 59 | 251 |
| 2 | 71 | 251 |
| 3 | 76 | 251 |
| 4 | 79 | 251 |
| 5 | 80 | 251 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(if (<=.f64 x #s(literal -9937248183729/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (-.f64 x (*.f64 x y)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) x (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 335700942307893/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) x (if (<=.f64 y #s(literal 45000000000000002585004117828307557579983476491121405113946337899541897998469696579566937774881954064462713977490667023832409967691985178755452801666611120654204883801930903672945826070528 binary64)) y (*.f64 y (neg.f64 x))))) |
(if (<=.f64 y #s(literal 6219301668019913/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) x y) |
x |
#s(literal 0 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 x y) (*.f64 x y)) |
(if (<=.f64 x #s(literal -9937248183729/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (-.f64 x (*.f64 x y)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) x (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal 5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) x (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 335700942307893/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) x (if (<=.f64 y #s(literal 45000000000000002585004117828307557579983476491121405113946337899541897998469696579566937774881954064462713977490667023832409967691985178755452801666611120654204883801930903672945826070528 binary64)) y (*.f64 y (neg.f64 x))))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal 335700942307893/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) x (if (<=.f64 y #s(literal 45000000000000002585004117828307557579983476491121405113946337899541897998469696579566937774881954064462713977490667023832409967691985178755452801666611120654204883801930903672945826070528 binary64)) y (*.f64 x (neg.f64 y))))) |
(if (<=.f64 y #s(literal 6219301668019913/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) x y) |
x |
#s(literal 0 binary64) |
| 968× | times-frac |
| 476× | distribute-lft-in |
| 426× | distribute-rgt-in |
| 349× | fmm-def |
| 305× | unpow-prod-down |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 90 | 26 |
| 2 | 1085 | 2 |
| 0 | 502 | 6750 |
| 1 | 1188 | 6355 |
| 2 | 3000 | 6277 |
| 1× | done |
| 1× | node limit |
| 1× | node limit |
Compiled 262 to 104 computations (60.3% saved)
(sort x y)
Compiled 214 to 102 computations (52.3% saved)
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