
Time bar (total: 4.5s)
| 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 7 to 6 computations (14.3% saved)
| 402.0ms | 8 256× | 0 | valid |
ival-mult: 71.0ms (52.1% of total)ival-div: 55.0ms (40.4% of total)ival-true: 7.0ms (5.1% of total)ival-assert: 3.0ms (2.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 0 | - | 0 | - | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (*.f64 y y)) | n/o | 24 | 0 |
| ↳ | (*.f64 y y) | overflow | 75 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 19 | 0 |
| ↳ | (*.f64 y y) | underflow | 67 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 43 | 0 |
| - | 0 | 213 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 43 | 0 | 0 |
| - | 0 | 0 | 213 |
| number | freq |
|---|---|
| 0 | 213 |
| 1 | 43 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 39 to 20 computations (48.7% saved)
ival-mult: 4.0ms (49.6% of total)ival-div: 3.0ms (37.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 39 | 27 |
| 2 | 105 | 27 |
| 3 | 328 | 27 |
| 4 | 837 | 27 |
| 5 | 1364 | 27 |
| 6 | 1507 | 27 |
| 7 | 1533 | 27 |
| 8 | 1551 | 27 |
| 9 | 1567 | 27 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 8 | 5 |
| 0 | 8 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
(abs y)
(negabs x)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.9% | (/.f64 x (*.f64 y y)) |
Compiled 5 to 4 computations (20% 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 8 | 10 |
| 0 | 8 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 9.691329252649625 | (/.f64 x (*.f64 y y)) |
| 9.0ms | 256× | 0 | valid |
Compiled 22 to 10 computations (54.5% saved)
ival-div: 2.0ms (53% of total)ival-mult: 2.0ms (53% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(/ x (pow y 2)) |
(pow y 2) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | 0 | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | 0 | ((/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | inf | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((/ x (* y y)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 6 | 8 |
| 2 | 8 | 8 |
| 0 | 8 | 8 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(pow y 2) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 18 | 8 |
| 2 | 77 | 8 |
| 3 | 362 | 8 |
| 0 | 2158 | 8 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(*.f64 (/.f64 x y) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) x) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (*.f64 x x))) x) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y))) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))))) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (*.f64 x x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x x) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 (neg.f64 y) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x y))) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (neg.f64 y) x) y))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 x (*.f64 y y))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y)) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 y (pow.f64 y #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.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 y y #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(exp.f64 (neg.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 y) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
(+.f64 (*.f64 y y) #s(literal 0 binary64)) |
Compiled 1 533 to 352 computations (77% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 9 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 140 | 10 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| ▶ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.7% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
| 64.0% | (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| ✓ | 84.9% | (/.f64 x (*.f64 y y)) |
| ▶ | 84.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
| ▶ | 99.0% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
| ▶ | 99.5% | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
| 92.0% | (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y))) | |
| 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
Compiled 163 to 128 computations (21.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| cost-diff | 2304 | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 832 | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 y) x) y) | |
| cost-diff | 448 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) x) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 100 |
| 0 | 34 | 86 |
| 1 | 58 | 86 |
| 2 | 114 | 86 |
| 3 | 235 | 86 |
| 4 | 462 | 86 |
| 5 | 973 | 86 |
| 6 | 2355 | 86 |
| 7 | 3088 | 86 |
| 8 | 3269 | 86 |
| 9 | 3307 | 86 |
| 10 | 3315 | 86 |
| 11 | 3315 | 86 |
| 12 | 3315 | 86 |
| 13 | 3315 | 86 |
| 14 | 3315 | 86 |
| 0 | 3315 | 86 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 x y) y) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (/.f64 x y) y) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) y) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.171875 | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) | |
| accuracy | 0.20769501953688402 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 y) x) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.171875 | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 y) x) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 (neg.f64 y) x) y) | |
| accuracy | 0.6241409518774252 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.6241409518774252 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| accuracy | 9.504177709767463 | (/.f64 (*.f64 y y) x) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 x y) y) |
| 63.0ms | 256× | 0 | valid |
Compiled 202 to 40 computations (80.2% saved)
ival-div: 26.0ms (76.1% of total)ival-mult: 4.0ms (11.7% of total)ival-sqrt: 2.0ms (5.9% of total)ival-neg: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(sqrt.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/ x y) |
(/ (pow y 2) x) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ y x)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(pow y 2) |
(* -1 y) |
(/ -1 y) |
(sqrt y) |
(sqrt (/ 1 y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (/ 1 (sqrt y))) |
| 4.0ms | y | @ | 0 | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (/ 1 (sqrt y))) |
| 4.0ms | x | @ | 0 | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (/ 1 (sqrt y))) |
| 2.0ms | y | @ | inf | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (/ 1 (sqrt y))) |
| 2.0ms | x | @ | inf | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (/ 1 (sqrt y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 52 |
| 1 | 56 | 52 |
| 2 | 136 | 52 |
| 3 | 332 | 52 |
| 4 | 1346 | 52 |
| 5 | 2729 | 52 |
| 6 | 3835 | 52 |
| 7 | 4231 | 52 |
| 8 | 4350 | 52 |
| 9 | 4388 | 52 |
| 10 | 4606 | 52 |
| 11 | 4737 | 52 |
| 12 | 5836 | 52 |
| 13 | 6152 | 52 |
| 14 | 6152 | 52 |
| 15 | 6152 | 52 |
| 16 | 6477 | 52 |
| 17 | 6774 | 52 |
| 18 | 7402 | 52 |
| 19 | 7758 | 52 |
| 20 | 7933 | 52 |
| 0 | 8011 | 52 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x y) |
(/ (pow y 2) x) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ y x)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(pow y 2) |
(* -1 y) |
(/ -1 y) |
(sqrt y) |
(sqrt (/ 1 y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (pow y 2) x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(pow y 2) |
(*.f64 y y) |
(* -1 y) |
(neg.f64 y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 77 |
| 0 | 34 | 62 |
| 1 | 119 | 60 |
| 2 | 657 | 60 |
| 3 | 3744 | 58 |
| 0 | 9268 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(sqrt.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) y) |
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 x y) y))) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -5/4 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y x))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(*.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 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (/.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (neg.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y)) |
(*.f64 x (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x))) |
(pow.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (sqrt.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 y x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)))) (/.f64 (*.f64 y y) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))))) (*.f64 (/.f64 y x) (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (*.f64 (/.f64 y x) (pow.f64 y #s(literal -3/2 binary64)))) (*.f64 (/.f64 y x) (/.f64 (sqrt.f64 y) x))) |
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(/.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 y (*.f64 #s(literal 0 binary64) (sqrt.f64 y))))) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) |
(/.f64 (sqrt.f64 y) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 y) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 y (sqrt.f64 y)) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(fabs.f64 (-.f64 (sqrt.f64 y) #s(literal 0 binary64))) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (log.f64 y))) |
(exp.f64 (+.f64 (log.f64 y) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 y))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sqrt.f64 y))) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 y)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(neg.f64 (pow.f64 y #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 y)))) |
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64) (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
Compiled 15 295 to 2 970 computations (80.6% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 084 | 2 | 1 086 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 087 | 9 | 1 096 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
| ▶ | 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.7% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
| ▶ | 64.0% | (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ✓ | 84.9% | (/.f64 x (*.f64 y y)) |
| ▶ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 99.5% | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
| ▶ | 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
Compiled 117 to 89 computations (23.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) | |
| cost-diff | 1984 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| cost-diff | 1984 | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (neg.f64 (*.f64 x x)) | |
| cost-diff | 512 | (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) y) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 448 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 116 |
| 0 | 44 | 108 |
| 1 | 81 | 108 |
| 2 | 208 | 103 |
| 3 | 776 | 93 |
| 4 | 3069 | 93 |
| 5 | 6415 | 93 |
| 0 | 8463 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
x |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 (/.f64 x y) y) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
x |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (/.f64 x y) y) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) y) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x y) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) | |
| accuracy | 0.19921875 | (/.f64 x (sqrt.f64 y)) | |
| accuracy | 0.26953125 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.18587875976844204 | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| accuracy | 0.20769501953688402 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| accuracy | 0.0 | (neg.f64 (*.f64 x x)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 6.8161365614635185 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| accuracy | 22.346865943247547 | (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.6241409518774252 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 x) y) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.171875 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
| 80.0ms | 256× | 0 | valid |
Compiled 234 to 50 computations (78.6% saved)
ival-div: 53.0ms (80.3% of total)ival-mult: 7.0ms (10.6% of total)ival-neg: 3.0ms (4.5% of total)ival-sqrt: 2.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
(sqrt.f64 y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(/ x (pow y 2)) |
(* -1 (/ x y)) |
(* -1 x) |
(/ (pow y 2) x) |
(/ y x) |
(* -1 (pow x 2)) |
(pow x 2) |
(* -1 (* x (pow y 2))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ x y) |
(* x (sqrt (/ 1 y))) |
(/ -1 y) |
(sqrt y) |
(* -1 y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | 0 | ((* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (neg (* x x)) (* (* (neg y) y) x)) (neg (* x x)) (* x x) (* (* (neg y) y) x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (neg y)) |
| 3.0ms | y | @ | -inf | ((* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (neg (* x x)) (* (* (neg y) y) x)) (neg (* x x)) (* x x) (* (* (neg y) y) x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (neg y)) |
| 3.0ms | x | @ | -inf | ((* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (neg (* x x)) (* (* (neg y) y) x)) (neg (* x x)) (* x x) (* (* (neg y) y) x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (neg y)) |
| 3.0ms | x | @ | 0 | ((* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (neg (* x x)) (* (* (neg y) y) x)) (neg (* x x)) (* x x) (* (* (neg y) y) x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (neg y)) |
| 3.0ms | x | @ | inf | ((* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (neg (* x x)) (* (* (neg y) y) x)) (neg (* x x)) (* x x) (* (* (neg y) y) x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 66 |
| 1 | 74 | 66 |
| 2 | 196 | 66 |
| 3 | 463 | 66 |
| 4 | 2051 | 66 |
| 5 | 4084 | 66 |
| 6 | 5111 | 66 |
| 7 | 5322 | 66 |
| 8 | 5444 | 66 |
| 9 | 5493 | 66 |
| 10 | 5767 | 66 |
| 11 | 6613 | 66 |
| 12 | 7261 | 66 |
| 13 | 7395 | 66 |
| 14 | 7397 | 66 |
| 15 | 7399 | 66 |
| 16 | 7403 | 66 |
| 17 | 7431 | 66 |
| 18 | 7431 | 66 |
| 19 | 7946 | 66 |
| 0 | 8126 | 66 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(* -1 (/ x y)) |
(* -1 x) |
(/ (pow y 2) x) |
(/ y x) |
(* -1 (pow x 2)) |
(pow x 2) |
(* -1 (* x (pow y 2))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ x y) |
(* x (sqrt (/ 1 y))) |
(/ -1 y) |
(sqrt y) |
(* -1 y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 y x) (neg.f64 y)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(/ x y) |
(/.f64 x y) |
(* x (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(sqrt y) |
(sqrt.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(/.f64 x y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 98 |
| 0 | 44 | 90 |
| 1 | 144 | 74 |
| 2 | 867 | 74 |
| 0 | 4821 | 74 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
(sqrt.f64 y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) y) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)) x) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) #s(literal 0 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) |
(*.f64 x (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (neg.f64 x) (sqrt.f64 y)))) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) x)) (*.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (*.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))) (/.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 x))) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y))) (*.f64 (neg.f64 (sqrt.f64 y)) x)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x x))) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sqrt.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) x)) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 y))) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 y) x) x) |
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 y y)) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y (/.f64 (neg.f64 y) y)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 x (/.f64 (neg.f64 y) x)) |
(pow.f64 (neg.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 y) x) x) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)) |
(/.f64 (*.f64 y x) (neg.f64 x)) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(/.f64 (neg.f64 y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
(fma.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) x) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (neg.f64 y) x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 0 binary64)) |
Compiled 12 043 to 2 530 computations (79% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 926 | 2 | 928 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 928 | 9 | 937 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ▶ | 99.5% | (/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.7% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
| ▶ | 64.0% | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| ✓ | 84.9% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 99.5% | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
| ✓ | 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
Compiled 73 to 55 computations (24.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) | |
| cost-diff | 1856 | (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) | |
| 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)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 0 | 20 | 42 |
| 1 | 43 | 38 |
| 2 | 103 | 34 |
| 3 | 381 | 34 |
| 4 | 1908 | 34 |
| 5 | 3389 | 34 |
| 6 | 5525 | 34 |
| 7 | 7040 | 34 |
| 8 | 7643 | 34 |
| 0 | 8251 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
(/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) |
(/.f64 x y) |
x |
y |
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
| Outputs |
|---|
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 x y) y) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
(/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
y |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.0 | (neg.f64 (sqrt.f64 y)) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) | |
| accuracy | 0.4765625 | (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 6.8161365614635185 | (*.f64 (*.f64 y y) x) | |
| accuracy | 22.346865943247547 | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| 27.0ms | 256× | 0 | valid |
Compiled 102 to 24 computations (76.5% saved)
ival-mult: 11.0ms (60.8% of total)ival-div: 4.0ms (22.1% of total)ival-sqrt: 2.0ms (11.1% of total)ival-neg: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
(*.f64 x x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) |
(/.f64 x y) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
| Outputs |
|---|
(/ x (pow y 2)) |
(pow x 2) |
(* x (pow y 2)) |
(/ x y) |
(pow y 2) |
y |
(* -1 (sqrt y)) |
(sqrt y) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* (sqrt y) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | y | @ | -inf | ((/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y) (* (neg (sqrt y)) (neg (sqrt y))) (/ (/ x y) (* (neg (sqrt y)) (neg (sqrt y)))) (/ x y) (neg (sqrt y)) (sqrt y)) |
| 1.0ms | x | @ | -inf | ((/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y) (* (neg (sqrt y)) (neg (sqrt y))) (/ (/ x y) (* (neg (sqrt y)) (neg (sqrt y)))) (/ x y) (neg (sqrt y)) (sqrt y)) |
| 1.0ms | x | @ | inf | ((/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y) (* (neg (sqrt y)) (neg (sqrt y))) (/ (/ x y) (* (neg (sqrt y)) (neg (sqrt y)))) (/ x y) (neg (sqrt y)) (sqrt y)) |
| 1.0ms | y | @ | inf | ((/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y) (* (neg (sqrt y)) (neg (sqrt y))) (/ (/ x y) (* (neg (sqrt y)) (neg (sqrt y)))) (/ x y) (neg (sqrt y)) (sqrt y)) |
| 1.0ms | x | @ | 0 | ((/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y) (* (neg (sqrt y)) (neg (sqrt y))) (/ (/ x y) (* (neg (sqrt y)) (neg (sqrt y)))) (/ x y) (neg (sqrt y)) (sqrt y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 36 |
| 1 | 41 | 36 |
| 2 | 127 | 36 |
| 3 | 316 | 36 |
| 4 | 1291 | 36 |
| 5 | 2464 | 36 |
| 6 | 3631 | 36 |
| 7 | 3877 | 36 |
| 8 | 3919 | 36 |
| 9 | 3927 | 36 |
| 10 | 4355 | 36 |
| 11 | 4515 | 36 |
| 12 | 5212 | 36 |
| 13 | 5488 | 36 |
| 14 | 5656 | 36 |
| 15 | 5668 | 36 |
| 16 | 5668 | 36 |
| 17 | 5668 | 36 |
| 18 | 5932 | 36 |
| 19 | 6788 | 36 |
| 20 | 7230 | 36 |
| 21 | 7716 | 36 |
| 22 | 7809 | 36 |
| 23 | 7825 | 36 |
| 24 | 7843 | 36 |
| 25 | 7861 | 36 |
| 26 | 7873 | 36 |
| 27 | 7873 | 36 |
| 28 | 7873 | 36 |
| 29 | 7873 | 36 |
| 30 | 7873 | 36 |
| 31 | 7921 | 36 |
| 32 | 7929 | 36 |
| 33 | 7953 | 36 |
| 34 | 7953 | 36 |
| 35 | 7953 | 36 |
| 0 | 7953 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(pow x 2) |
(* x (pow y 2)) |
(/ x y) |
(pow y 2) |
y |
(* -1 (sqrt y)) |
(sqrt y) |
(* -1 (* y (pow (sqrt -1) 2))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* (sqrt y) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(/ x y) |
(/.f64 x y) |
(pow y 2) |
(*.f64 y y) |
y |
(* -1 (sqrt y)) |
(neg.f64 (sqrt.f64 y)) |
(sqrt y) |
(sqrt.f64 y) |
(* -1 (* y (pow (sqrt -1) 2))) |
y |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* (sqrt y) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 y)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 0 | 20 | 41 |
| 1 | 71 | 29 |
| 2 | 396 | 29 |
| 3 | 2995 | 29 |
| 0 | 8499 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
(*.f64 x x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) |
(/.f64 x y) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 x (*.f64 x (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 3/2 binary64))) y) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) y) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64))) |
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 y x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (/.f64 x y) y)) |
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(fma.f64 y (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 y) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 y #s(literal 0 binary64)))) (sqrt.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 y #s(literal 0 binary64)))) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) y) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (sqrt.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 (-.f64 y #s(literal 0 binary64)) (sqrt.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (sqrt.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (sqrt.f64 y)) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(fabs.f64 (-.f64 (sqrt.f64 y) (/.f64 #s(literal 0 binary64) (sqrt.f64 y)))) |
(fabs.f64 (-.f64 (sqrt.f64 y) (/.f64 #s(literal 0 binary64) y))) |
(fabs.f64 (-.f64 (sqrt.f64 y) #s(literal 0 binary64))) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 y) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 y) (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) |
(exp.f64 (+.f64 (log.f64 y) (neg.f64 (log.f64 (sqrt.f64 y))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 y))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 y)) |
(+.f64 (sqrt.f64 y) #s(literal 0 binary64)) |
Compiled 13 441 to 2 404 computations (82.1% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 899 | 1 | 900 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 7 | 7 |
| Total | 900 | 9 | 909 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| 99.5% | (/.f64 (/.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) | |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.7% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
| ✓ | 64.0% | (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
| ✓ | 84.9% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 99.5% | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
| ✓ | 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
Compiled 200 to 99 computations (50.5% saved)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 x y) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y))) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 34.0ms | x |
| 5.0ms | (*.f64 y y) |
| 4.0ms | y |
| 4.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 x (*.f64 y y)) |
| 99.8% | 1 | (*.f64 y y) |
Compiled 10 to 11 computations (-10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
4 calls:
| 3.0ms | (*.f64 y y) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 1 | x |
| 84.9% | 1 | y |
| 84.9% | 1 | (/.f64 x (*.f64 y y)) |
| 84.9% | 1 | (*.f64 y y) |
Compiled 10 to 11 computations (-10% 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 18 | 8 |
| 2 | 77 | 8 |
| 3 | 362 | 8 |
| 0 | 2158 | 8 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 20 to 12 computations (40% saved)
(negabs x)
(abs y)
Compiled 80 to 60 computations (25% saved)
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