
Time bar (total: 3.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 5 computations (37.5% saved)
ival-mult: 3.0ms (77.9% of total)ival-div: 1.0ms (26% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 435.0ms | 8256× | 0 | valid |
ival-mult: 83.0ms (51.6% of total)ival-div: 67.0ms (41.7% of total)const: 7.0ms (4.4% of total)backward-pass: 3.0ms (1.9% of total)| 2× | egg-herbie |
| 1050× | fnmadd-define |
| 998× | fma-define |
| 892× | times-frac |
| 688× | sum3-define |
| 466× | fnmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 1 | 41 | 32 |
| 2 | 106 | 32 |
| 3 | 325 | 32 |
| 4 | 901 | 32 |
| 5 | 1950 | 32 |
| 6 | 2989 | 32 |
| 7 | 3375 | 32 |
| 8 | 3437 | 32 |
| 9 | 3541 | 32 |
| 10 | 3581 | 32 |
| 0 | 4 | 5 |
| 1 | 6 | 5 |
| 0 | 6 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ x (* y y)) |
| Outputs |
|---|
(/ x (* y y)) |
(/.f64 x (*.f64 y y)) |
| Inputs |
|---|
(/ x (* y y)) |
(/ (neg x) (* y y)) |
(/ x (* (neg y) (neg y))) |
(neg (/ (neg x) (* y y))) |
(neg (/ x (* (neg y) (neg y)))) |
(/ y (* x x)) |
| Outputs |
|---|
(/ x (* y y)) |
(/ (neg x) (* y y)) |
(/ x (* y (neg y))) |
(/ x (* (neg y) (neg y))) |
(/ x (* y y)) |
(neg (/ (neg x) (* y y))) |
(/ x (* y y)) |
(neg (/ x (* (neg y) (neg y)))) |
(/ x (* y (neg y))) |
(/ y (* x x)) |
(abs y)
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 0 | - | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | y |
| 32.0ms | 512× | 0 | valid |
Compiled 33 to 14 computations (57.6% saved)
ival-div: 9.0ms (61.9% of total)ival-mult: 5.0ms (34.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 7 to 4 computations (42.9% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.9% | (/.f64 x (*.f64 y y)) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y y)) |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 2× | *-lowering-*.f32 |
| 2× | *-lowering-*.f64 |
| 2× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 6 | 10 |
| 0 | 6 | 10 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (* y y)) |
x |
(* y y) |
y |
| Outputs |
|---|
(/ x (* y y)) |
(/.f64 x (*.f64 y y)) |
x |
(* y y) |
(*.f64 y y) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 87.9% | (/.f64 x (*.f64 y y)) |
| 32.0ms | 256× | 0 | valid |
Compiled 13 to 5 computations (61.5% saved)
ival-div: 2.0ms (44.4% of total)ival-mult: 2.0ms (44.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (* y y))> |
#<alt (* y y)> |
| Outputs |
|---|
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/ x (* y y)) |
| 1.0ms | x | @ | inf | (/ x (* y y)) |
| 1.0ms | x | @ | 0 | (/ x (* y y)) |
| 0.0ms | x | @ | -inf | (/ x (* y y)) |
| 0.0ms | y | @ | inf | (* y y) |
| 1× | batch-egg-rewrite |
| 1814× | /-lowering-/.f32 |
| 1814× | /-lowering-/.f64 |
| 1614× | *-lowering-*.f32 |
| 1614× | *-lowering-*.f64 |
| 806× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 1 | 16 | 8 |
| 2 | 77 | 8 |
| 3 | 366 | 8 |
| 4 | 2160 | 8 |
| 0 | 9223 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (* y y)) |
(* y y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 y (*.f64 y (*.f64 y y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (*.f64 y y) (/.f64 y x)) (*.f64 y (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 x y))) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64))) (/.f64 x (*.f64 y y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(neg.f64 (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 y (/.f64 (*.f64 y y) (/.f64 x y))) |
(/.f64 y (neg.f64 (/.f64 (*.f64 y y) (/.f64 x y)))) |
(/.f64 (*.f64 y y) (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))) |
(/.f64 (*.f64 y y) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y))) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (/.f64 x y)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (/.f64 (/.f64 x y) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x))) (*.f64 y (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 (*.f64 x x) y)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y) (*.f64 x y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 y x)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y)))) (/.f64 x (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y)) x) |
(/.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x)))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (*.f64 y y)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y)) (neg.f64 (*.f64 (*.f64 x x) y))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y)) (neg.f64 (*.f64 x y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))))) (/.f64 x (*.f64 y y))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x)))) (*.f64 y (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 y (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (neg.f64 (*.f64 y x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x y)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 x y)))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y))) #s(literal 0 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 y (/.f64 x y)))) (/.f64 y (/.f64 x y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 y y) #s(literal 0 binary64)) |
(+.f64 (*.f64 y y) (fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 y y))) |
(+.f64 (*.f64 y y) (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 y y))) |
(+.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 y y))) |
(+.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1 binary64) (*.f64 y y))) |
(+.f64 (*.f64 y y) (fma.f64 y y (*.f64 y y))) |
(+.f64 (*.f64 y y) (fma.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y) (*.f64 y y))) |
(+.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y))) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
(+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 y))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) (log.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(fma.f64 y y #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)) (*.f64 y y)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 0 binary64)) |
(neg.f64 (*.f64 y y)) |
(/.f64 y (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y y) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) |
(pow.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 y)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(*.f64 y y) |
(*.f64 y (*.f64 (/.f64 (sqrt.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y)))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y y)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 y))) y) |
| 1× | egg-herbie |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 2× | pow-lowering-pow.f64 |
| 2× | pow-lowering-pow.f32 |
| 2× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 156 |
| 1 | 6 | 156 |
| 2 | 8 | 156 |
| 0 | 8 | 156 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
Compiled 3101 to 475 computations (84.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 7 | 252 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 245 | 8 | 253 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
| ▶ | 99.9% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ▶ | 67.0% | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| ✓ | 87.9% | (/.f64 x (*.f64 y y)) |
| ▶ | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| 99.7% | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y))) | |
| 94.2% | (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y))) |
Compiled 141 to 92 computations (34.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (pow.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 64 | (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 12800 | (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 y (/.f64 x y)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x y) y) |
| 5212× | *-lowering-*.f32 |
| 5212× | *-lowering-*.f64 |
| 2580× | /-lowering-/.f32 |
| 2580× | /-lowering-/.f64 |
| 1606× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 72 |
| 1 | 39 | 72 |
| 2 | 81 | 72 |
| 3 | 110 | 72 |
| 4 | 282 | 72 |
| 5 | 1571 | 72 |
| 6 | 2081 | 72 |
| 7 | 2210 | 72 |
| 8 | 2421 | 72 |
| 9 | 2706 | 72 |
| 10 | 3099 | 72 |
| 11 | 5533 | 72 |
| 12 | 6735 | 72 |
| 13 | 7862 | 72 |
| 0 | 8141 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ x y) y) |
(/ x y) |
x |
y |
(/ 1 (/ y (/ x y))) |
1 |
(/ y (/ x y)) |
y |
(/ x y) |
x |
(/ (/ 1 y) (/ y x)) |
(/ 1 y) |
1 |
y |
(/ y x) |
x |
(/ (* x x) (* (* y y) x)) |
(* x x) |
x |
(* (* y y) x) |
(* y y) |
y |
(pow (/ (pow x 1/2) y) 2) |
(/ (pow x 1/2) y) |
(pow x 1/2) |
x |
1/2 |
y |
2 |
| Outputs |
|---|
(/ (/ x y) y) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(/ 1 (/ y (/ x y))) |
(/.f64 x (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(/ y (/ x y)) |
(/.f64 y (/.f64 x y)) |
y |
(/ x y) |
(/.f64 x y) |
x |
(/ (/ 1 y) (/ y x)) |
(/.f64 x (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ y x) |
(/.f64 y x) |
x |
(/ (* x x) (* (* y y) x)) |
(/.f64 x (*.f64 y y)) |
(* x x) |
(*.f64 x x) |
x |
(* (* y y) x) |
(*.f64 x (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
y |
(pow (/ (pow x 1/2) y) 2) |
(/.f64 x (*.f64 y y)) |
(/ (pow x 1/2) y) |
(/.f64 (sqrt.f64 x) y) |
(pow x 1/2) |
(sqrt.f64 x) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
2 |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 86.3% | (*.f64 (*.f64 y y) x) |
| ✓ | accuracy | 67.8% | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.8% | (/.f64 y (/.f64 x y)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 x y) y) |
| 103.0ms | 256× | 0 | valid |
Compiled 88 to 20 computations (77.3% saved)
ival-div: 49.0ms (65.7% of total)ival-pow: 19.0ms (25.5% of total)ival-mult: 5.0ms (6.7% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ x y) y)> |
#<alt (/ x y)> |
#<alt (/ 1 (/ y (/ x y)))> |
#<alt (/ y (/ x y))> |
#<alt (/ (/ 1 y) (/ y x))> |
#<alt (/ 1 y)> |
#<alt (/ y x)> |
#<alt (/ (* x x) (* (* y y) x))> |
#<alt (* x x)> |
#<alt (* (* y y) x)> |
#<alt (* y y)> |
#<alt (pow (/ (pow x 1/2) y) 2)> |
#<alt (/ (pow x 1/2) y)> |
#<alt (pow x 1/2)> |
| Outputs |
|---|
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow (/ (pow x 1/2) y) 2) |
| 2.0ms | y | @ | 0 | (/ y x) |
| 1.0ms | y | @ | inf | (/ x y) |
| 1.0ms | x | @ | -inf | (/ (pow x 1/2) y) |
| 1.0ms | x | @ | 0 | (/ (pow x 1/2) y) |
| 1× | batch-egg-rewrite |
| 1790× | exp-lowering-exp.f32 |
| 1790× | exp-lowering-exp.f64 |
| 1516× | *-lowering-*.f32 |
| 1516× | *-lowering-*.f64 |
| 1444× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 55 |
| 1 | 100 | 55 |
| 2 | 600 | 55 |
| 3 | 4036 | 55 |
| 0 | 9017 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ x y) y) |
(/ x y) |
(/ 1 (/ y (/ x y))) |
(/ y (/ x y)) |
(/ (/ 1 y) (/ y x)) |
(/ 1 y) |
(/ y x) |
(/ (* x x) (* (* y y) x)) |
(* x x) |
(* (* y y) x) |
(* y y) |
(pow (/ (pow x 1/2) y) 2) |
(/ (pow x 1/2) y) |
(pow x 1/2) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 y)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (log.f64 (/.f64 x y)))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))) |
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))) |
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)))) |
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(exp.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)) (log.f64 x))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (log.f64 x))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
| 1× | egg-herbie |
| 1780× | *-lowering-*.f32 |
| 1780× | *-lowering-*.f64 |
| 1632× | fma-lowering-fma.f32 |
| 1632× | fma-lowering-fma.f64 |
| 1522× | fnmadd-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 1224 |
| 1 | 52 | 1200 |
| 2 | 149 | 1200 |
| 3 | 420 | 1200 |
| 4 | 1556 | 1200 |
| 5 | 3293 | 1200 |
| 6 | 5018 | 1200 |
| 7 | 6461 | 1200 |
| 0 | 8154 | 1200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 20496 to 2130 computations (89.6% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1777 | 3 | 1780 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1780 | 8 | 1788 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
| ▶ | 99.7% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y) |
| ✓ | 99.9% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ▶ | 86.6% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x)) |
| ✓ | 67.0% | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| ✓ | 87.9% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
Compiled 75 to 47 computations (37.3% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 12736 | (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y) |
| ✓ | cost-diff | 0 | (/.f64 y (/.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 y (/.f64 x y)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x)) |
| 9636× | *-lowering-*.f32 |
| 9636× | *-lowering-*.f64 |
| 3066× | unswap-sqr |
| 2300× | /-lowering-/.f32 |
| 2300× | /-lowering-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 69 |
| 1 | 34 | 69 |
| 2 | 84 | 54 |
| 3 | 211 | 54 |
| 4 | 617 | 54 |
| 5 | 1598 | 54 |
| 6 | 1921 | 54 |
| 7 | 2188 | 54 |
| 8 | 2277 | 54 |
| 9 | 2374 | 54 |
| 10 | 2495 | 54 |
| 11 | 4645 | 54 |
| 12 | 5223 | 54 |
| 13 | 5870 | 54 |
| 0 | 8985 | 54 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 x) (/ (/ y (/ x y)) x)) |
(/ 1 x) |
1 |
x |
(/ (/ y (/ x y)) x) |
(/ y (/ x y)) |
y |
(/ x y) |
(/ (/ (/ 1 y) (/ 1 x)) y) |
(/ (/ 1 y) (/ 1 x)) |
(/ 1 y) |
1 |
y |
(/ 1 x) |
x |
(pow (/ (sqrt x) y) 2) |
(/ (sqrt x) y) |
(sqrt x) |
x |
y |
2 |
| Outputs |
|---|
(/ (/ 1 x) (/ (/ y (/ x y)) x)) |
(/.f64 (/.f64 x y) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (/ y (/ x y)) x) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(/ y (/ x y)) |
(/.f64 y (/.f64 x y)) |
y |
(/ x y) |
(/.f64 x y) |
(/ (/ (/ 1 y) (/ 1 x)) y) |
(/.f64 (/.f64 x y) y) |
(/ (/ 1 y) (/ 1 x)) |
(/.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(pow (/ (sqrt x) y) 2) |
(/.f64 (/.f64 x y) y) |
(/ (sqrt x) y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
2 |
#s(literal 2 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 y (/.f64 x y)) |
| ✓ | accuracy | 94.1% | (/.f64 (/.f64 y (/.f64 x y)) x) |
| ✓ | accuracy | 87.0% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x)) |
| 42.0ms | 256× | 0 | valid |
Compiled 75 to 16 computations (78.7% saved)
ival-div: 15.0ms (72.8% of total)ival-pow: 3.0ms (14.6% of total)ival-sqrt: 2.0ms (9.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ 1 x) (/ (/ y (/ x y)) x))> |
#<alt (/ 1 x)> |
#<alt (/ (/ y (/ x y)) x)> |
#<alt (/ y (/ x y))> |
#<alt (/ (/ (/ 1 y) (/ 1 x)) y)> |
#<alt (/ (/ 1 y) (/ 1 x))> |
#<alt (/ 1 y)> |
#<alt (pow (/ (sqrt x) y) 2)> |
#<alt (/ (sqrt x) y)> |
#<alt (sqrt x)> |
| Outputs |
|---|
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ (pow y 2) x)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (/ x (pow y 2))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (* (sqrt x) (/ 1 y))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | (/ (/ y (/ x y)) x) |
| 1.0ms | y | @ | inf | (/ (/ y (/ x y)) x) |
| 0.0ms | x | @ | -inf | (sqrt x) |
| 0.0ms | x | @ | 0 | (/ (/ y (/ x y)) x) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 1× | batch-egg-rewrite |
| 1946× | *-lowering-*.f32 |
| 1946× | *-lowering-*.f64 |
| 1308× | /-lowering-/.f32 |
| 1308× | /-lowering-/.f64 |
| 1204× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 57 |
| 1 | 93 | 52 |
| 2 | 669 | 38 |
| 0 | 3945 | 38 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 x) (/ (/ y (/ x y)) x)) |
(/ 1 x) |
(/ (/ y (/ x y)) x) |
(/ y (/ x y)) |
(/ (/ (/ 1 y) (/ 1 x)) y) |
(/ (/ 1 y) (/ 1 x)) |
(/ 1 y) |
(pow (/ (sqrt x) y) 2) |
(/ (sqrt x) y) |
(sqrt x) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (sqrt.f64 x) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) (log.f64 (/.f64 (sqrt.f64 x) y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sqrt.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 x (/.f64 y x)))) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (*.f64 x (/.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (sqrt.f64 x) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (sqrt.f64 x) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (/.f64 (sqrt.f64 x) y) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (/.f64 y (/.f64 x y))) x) |
(/.f64 (/.f64 x (/.f64 y x)) (*.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 y x) x)) |
(/.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 x x)) y) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)) (/.f64 y x)) |
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 x) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 x (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) |
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 y (/.f64 x y)))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y)) |
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 y (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 x) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 y (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 y x) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 x (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (/.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (/.f64 y x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))) |
(*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 x (/.f64 y x))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (/.f64 y (/.f64 x y))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (/.f64 (sqrt.f64 x) y) y))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 y x) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 x y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 x (/.f64 y x))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 x y) x) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) x) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 x) y) y)) |
(*.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x y)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x y))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
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(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(sqrt.f64 x) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 1636× | fnmadd-define |
| 1540× | fma-lowering-fma.f32 |
| 1540× | fma-lowering-fma.f64 |
| 1508× | fma-define |
| 1320× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 912 |
| 1 | 52 | 888 |
| 2 | 150 | 888 |
| 3 | 421 | 888 |
| 4 | 1547 | 888 |
| 5 | 3205 | 888 |
| 6 | 4908 | 888 |
| 7 | 6843 | 888 |
| 8 | 7998 | 888 |
| 0 | 8024 | 888 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) (pow x 2)) |
(/.f64 (/.f64 (*.f64 y y) x) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 13010 to 1433 computations (89% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1102 | 0 | 1102 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 5 | 5 |
| Total | 1102 | 8 | 1110 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
| ✓ | 99.7% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y) |
| ✓ | 99.9% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | 86.6% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x)) |
| ✓ | 67.0% | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| ✓ | 87.9% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
Compiled 161 to 84 computations (47.8% saved)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y (/.f64 x y)) x)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) (sqrt.f64 y))) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 7.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 x (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 18 to 11 computations (38.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 1 | x |
| 87.9% | 1 | y |
| 87.9% | 1 | (/.f64 x (*.f64 y y)) |
| 87.9% | 1 | (*.f64 y y) |
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
| 1814× | /-lowering-/.f32 |
| 1814× | /-lowering-/.f64 |
| 1614× | *-lowering-*.f32 |
| 1614× | *-lowering-*.f64 |
| 806× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 1 | 16 | 8 |
| 2 | 77 | 8 |
| 3 | 366 | 8 |
| 4 | 2160 | 8 |
| 0 | 9223 | 8 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 19 to 10 computations (47.4% saved)
(negabs x)
(abs y)
Compiled 108 to 60 computations (44.4% saved)
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