
Time bar (total: 3.3s)
| 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)
| 462.0ms | 8 256× | 0 | valid |
ival-mult: 101.0ms (52.9% of total)ival-div: 81.0ms (42.4% of total)ival-true: 6.0ms (3.1% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 0 | - | 2 | (-5.5856396900915105e-61 -2.5474381483519265e-159) | (/.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 | 17 | 0 |
| ↳ | (*.f64 y y) | overflow | 59 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 14 | 0 |
| ↳ | (*.f64 y y) | underflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 31 | 2 |
| - | 0 | 223 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 31 | 0 | 2 |
| - | 0 | 0 | 223 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 51.0ms | 512× | 0 | valid |
Compiled 49 to 24 computations (51% saved)
ival-mult: 4.0ms (49.4% of total)ival-div: 3.0ms (37.1% 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 | 327 | 27 |
| 4 | 825 | 27 |
| 5 | 1359 | 27 |
| 6 | 1504 | 27 |
| 7 | 1530 | 27 |
| 8 | 1548 | 27 |
| 9 | 1564 | 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 |
|---|---|---|
| ▶ | 88.3% | (/.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 | (*.f64 y y) | |
| accuracy | 7.517168953699128 | (/.f64 x (*.f64 y y)) |
| 41.0ms | 256× | 0 | valid |
Compiled 22 to 10 computations (54.5% saved)
ival-div: 2.0ms (55.1% of total)ival-mult: 2.0ms (55.1% 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 | y | @ | 0 | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | inf | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | 0 | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | 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 | 360 | 8 |
| 0 | 2132 | 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 (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 #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 (/.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 (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 (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)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 7 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 142 | 8 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| ▶ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 66.9% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
| 88.1% | (/.f64 x (*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))) | |
| ✓ | 88.3% | (/.f64 x (*.f64 y y)) |
| ▶ | 87.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
| ▶ | 99.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
| ▶ | 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
Compiled 121 to 94 computations (22.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) | |
| cost-diff | 1024 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.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 | 832 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.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 | 832 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) x) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 384 | (/.f64 (/.f64 x y) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 107 |
| 0 | 40 | 92 |
| 1 | 80 | 91 |
| 2 | 213 | 89 |
| 3 | 640 | 89 |
| 4 | 2506 | 89 |
| 5 | 4572 | 89 |
| 6 | 6333 | 89 |
| 7 | 6878 | 89 |
| 8 | 7775 | 89 |
| 0 | 8138 | 89 |
| 1× | iter limit |
| 1× | node limit |
| 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 (/.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 (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 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y x) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 x (*.f64 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 (neg.f64 y) x) y)) |
(/.f64 x (*.f64 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 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) |
(*.f64 (/.f64 x y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
(*.f64 y x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 (*.f64 x x)) | |
| accuracy | 7.482875097374877 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) | |
| accuracy | 16.912330372818644 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.140625 | (*.f64 (/.f64 (neg.f64 y) x) y) | |
| accuracy | 0.4891268263651626 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) | |
| accuracy | 0 | (/.f64 (neg.f64 x) y) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.4891268263651626 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| accuracy | 7.516944574936208 | (/.f64 (*.f64 y y) x) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 x y) y) |
| 74.0ms | 256× | 0 | valid |
Compiled 216 to 46 computations (78.7% saved)
ival-mult: 43.0ms (71.4% of total)ival-div: 14.0ms (23.2% of total)ival-neg: 3.0ms (5% 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 (/.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 (neg.f64 y) x) y)) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/ x y) |
(/ (pow y 2) x) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ y x)) |
(/ (pow x 2) y) |
(* -1 (pow x 2)) |
(pow x 2) |
(pow y 2) |
(/ -1 y) |
(* -1 y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | inf | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x)) |
| 4.0ms | y | @ | inf | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x)) |
| 3.0ms | x | @ | 0 | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x)) |
| 2.0ms | y | @ | 0 | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x)) |
| 2.0ms | y | @ | -inf | ((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 49 |
| 1 | 36 | 49 |
| 2 | 58 | 49 |
| 3 | 89 | 49 |
| 4 | 118 | 49 |
| 5 | 143 | 49 |
| 6 | 174 | 49 |
| 7 | 238 | 49 |
| 8 | 254 | 49 |
| 9 | 256 | 49 |
| 0 | 256 | 49 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x y) |
(/ (pow y 2) x) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ y x)) |
(/ (pow x 2) y) |
(* -1 (pow x 2)) |
(pow x 2) |
(pow y 2) |
(/ -1 y) |
(* -1 y) |
| 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 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (pow y 2) x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(* -1 (/ y x)) |
(/.f64 y (neg.f64 x)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(pow x 2) |
(*.f64 x x) |
(pow y 2) |
(*.f64 y y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 87 |
| 0 | 40 | 72 |
| 1 | 134 | 69 |
| 2 | 738 | 69 |
| 0 | 4749 | 69 |
| 1× | iter limit |
| 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 (/.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 (neg.f64 y) x) y)) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) y) (*.f64 (neg.f64 x) x)) x) |
(*.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 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (neg.f64 x) y)) x) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) y) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) x) |
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) x) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) x) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 x)) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (/.f64 (neg.f64 x) y) x)) |
(*.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)) x) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) |
(neg.f64 (*.f64 x x)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 x (neg.f64 x) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) x) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
Compiled 11 940 to 2 486 computations (79.2% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 923 | 4 | 927 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 927 | 8 | 935 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ▶ | 66.9% | (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 88.3% | (/.f64 x (*.f64 y y)) |
| ▶ | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ▶ | 82.9% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
| ✓ | 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
| ▶ | 74.1% | (*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) |
Compiled 108 to 77 computations (28.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 448 | (/.f64 (neg.f64 x) (*.f64 y x)) | |
| cost-diff | 448 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 640 | (/.f64 (/.f64 (*.f64 x x) y) (*.f64 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 | -64 | (*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) y) | |
| cost-diff | 320 | (/.f64 x (*.f64 (*.f64 y x) 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)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 116 |
| 0 | 39 | 116 |
| 1 | 71 | 96 |
| 2 | 162 | 91 |
| 3 | 526 | 91 |
| 4 | 2292 | 91 |
| 5 | 4802 | 91 |
| 6 | 7165 | 91 |
| 0 | 8246 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 x (/.f64 x (*.f64 (*.f64 y x) y))) |
x |
(/.f64 x (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
(/.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 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
(*.f64 y x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 (neg.f64 x) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
(/.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 x (/.f64 x (*.f64 (*.f64 y x) y))) |
(/.f64 (/.f64 x y) y) |
x |
(/.f64 x (*.f64 (*.f64 y x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
(/.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 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x x) |
x |
y |
(*.f64 y x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 (neg.f64 x) (*.f64 y x)) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) | |
| accuracy | 15.269659293426459 | (/.f64 (neg.f64 x) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 7.451625097374877 | (/.f64 (*.f64 x x) y) | |
| accuracy | 16.912330372818644 | (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.140625 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.4891268263651626 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 y x) y) | |
| accuracy | 7.672078718444065 | (*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) | |
| accuracy | 8.659101023661924 | (/.f64 x (*.f64 (*.f64 y x) y)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (sqrt.f64 y) | |
| accuracy | 0.174160009768442 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| accuracy | 0.1875 | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| 39.0ms | 256× | 0 | valid |
Compiled 234 to 44 computations (81.2% saved)
ival-div: 14.0ms (53.2% of total)ival-mult: 8.0ms (30.4% of total)ival-sqrt: 2.0ms (7.6% of total)ival-neg: 1.0ms (3.8% 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 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
(sqrt.f64 y) |
(/.f64 x (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
(/.f64 (neg.f64 x) (*.f64 y x)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
| Outputs |
|---|
(/ x (pow y 2)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ x y) |
(/ 1 (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(/ (pow y 2) x) |
(/ y x) |
(/ (pow x 2) y) |
(pow x 2) |
(/ -1 y) |
(* -1 (/ x y)) |
(* -1 x) |
(sqrt y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | inf | ((/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ x (* (* y x) y)) (* (* y x) y) (* y x) (* x (/ x (* (* y x) y))) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (* x x) (* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (/ (neg x) y) (neg x)) |
| 5.0ms | y | @ | -inf | ((/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ x (* (* y x) y)) (* (* y x) y) (* y x) (* x (/ x (* (* y x) y))) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (* x x) (* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (/ (neg x) y) (neg x)) |
| 4.0ms | x | @ | -inf | ((/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ x (* (* y x) y)) (* (* y x) y) (* y x) (* x (/ x (* (* y x) y))) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (* x x) (* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (/ (neg x) y) (neg x)) |
| 3.0ms | x | @ | 0 | ((/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ x (* (* y x) y)) (* (* y x) y) (* y x) (* x (/ x (* (* y x) y))) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (* x x) (* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (/ (neg x) y) (neg x)) |
| 3.0ms | x | @ | inf | ((/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ x (* (* y x) y)) (* (* y x) y) (* y x) (* x (/ x (* (* y x) y))) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (* x x) (* (/ (neg x) y) (/ (neg x) (* y x))) (/ (neg x) (* y x)) (/ (neg x) y) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 63 |
| 1 | 56 | 63 |
| 2 | 141 | 63 |
| 3 | 334 | 63 |
| 4 | 1006 | 63 |
| 5 | 2677 | 63 |
| 6 | 3731 | 63 |
| 7 | 4361 | 63 |
| 8 | 4576 | 63 |
| 9 | 4649 | 63 |
| 10 | 4663 | 63 |
| 11 | 4980 | 63 |
| 12 | 5536 | 63 |
| 13 | 5876 | 63 |
| 14 | 5991 | 63 |
| 15 | 6054 | 63 |
| 16 | 6152 | 63 |
| 17 | 6236 | 63 |
| 18 | 6313 | 63 |
| 19 | 6707 | 63 |
| 20 | 7463 | 63 |
| 0 | 8573 | 63 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ x y) |
(/ 1 (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(/ (pow y 2) x) |
(/ y x) |
(/ (pow x 2) y) |
(pow x 2) |
(/ -1 y) |
(* -1 (/ x y)) |
(* -1 x) |
(sqrt 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 (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) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(pow x 2) |
(*.f64 x x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
(sqrt y) |
(sqrt.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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 99 |
| 0 | 39 | 98 |
| 1 | 132 | 77 |
| 2 | 792 | 70 |
| 3 | 4989 | 70 |
| 0 | 8978 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 x (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
(/.f64 (neg.f64 x) (*.f64 y x)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) x) |
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 x 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 -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) |
(*.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 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
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(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64) (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) y) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) y) |
(/.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) y) (*.f64 (/.f64 y x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y (*.f64 x x))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 x y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 x y) x) x) |
(/.f64 (*.f64 x x) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 x y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) x)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 y))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (/.f64 y x) x)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 y x) x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 x y)) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(-.f64 #s(literal 0 binary64) x) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
Compiled 14 260 to 2 972 computations (79.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 131 | 2 | 1 133 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 131 | 10 | 1 141 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ✓ | 66.9% | (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) |
| ✓ | 88.3% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 82.9% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
| ✓ | 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | 74.1% | (*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) |
| ▶ | 87.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
Compiled 81 to 60 computations (25.9% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 y (/.f64 x (sqrt.f64 y))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) | |
| cost-diff | 2368 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 0 | 19 | 48 |
| 1 | 31 | 44 |
| 2 | 58 | 42 |
| 3 | 123 | 42 |
| 4 | 209 | 42 |
| 5 | 290 | 42 |
| 6 | 353 | 42 |
| 7 | 356 | 42 |
| 8 | 357 | 42 |
| 0 | 357 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 y (/.f64 x (sqrt.f64 y))) |
y |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
| Outputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 y)) y) |
#s(literal 1 binary64) |
(/.f64 y (/.f64 x (sqrt.f64 y))) |
y |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) | |
| accuracy | 0.17578125 | (/.f64 y (/.f64 x (sqrt.f64 y))) | |
| accuracy | 0.1875 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) | |
| accuracy | 0.203125 | (/.f64 x (sqrt.f64 y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.20061868118389758 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 7.672078718444065 | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 25.0ms | 256× | 0 | valid |
Compiled 106 to 24 computations (77.4% saved)
ival-div: 9.0ms (55.1% of total)ival-mult: 5.0ms (30.6% of total)ival-sqrt: 2.0ms (12.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) |
(/.f64 y (/.f64 x (sqrt.f64 y))) |
(/.f64 x (sqrt.f64 y)) |
| Outputs |
|---|
(/ x (pow y 2)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (/ 1 x) (sqrt (pow y 3))) |
(* x (sqrt (/ 1 y))) |
(/ 1 (pow y 2)) |
(pow y 2) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt (pow y 3)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (/ 1 (/ y (/ x (sqrt y)))) (sqrt y)) (/ 1 (/ y (/ x (sqrt y)))) (/ y (/ x (sqrt y))) (/ x (sqrt y))) |
| 3.0ms | y | @ | -inf | ((* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (/ 1 (/ y (/ x (sqrt y)))) (sqrt y)) (/ 1 (/ y (/ x (sqrt y)))) (/ y (/ x (sqrt y))) (/ x (sqrt y))) |
| 2.0ms | x | @ | 0 | ((* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (/ 1 (/ y (/ x (sqrt y)))) (sqrt y)) (/ 1 (/ y (/ x (sqrt y)))) (/ y (/ x (sqrt y))) (/ x (sqrt y))) |
| 2.0ms | x | @ | inf | ((* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (/ 1 (/ y (/ x (sqrt y)))) (sqrt y)) (/ 1 (/ y (/ x (sqrt y)))) (/ y (/ x (sqrt y))) (/ x (sqrt y))) |
| 2.0ms | y | @ | 0 | ((* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (/ 1 (/ y (/ x (sqrt y)))) (sqrt y)) (/ 1 (/ y (/ x (sqrt y)))) (/ y (/ x (sqrt y))) (/ x (sqrt y))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 48 |
| 1 | 51 | 44 |
| 2 | 144 | 44 |
| 3 | 369 | 44 |
| 4 | 1250 | 44 |
| 5 | 2825 | 44 |
| 6 | 3590 | 44 |
| 7 | 4059 | 44 |
| 8 | 4232 | 44 |
| 9 | 4285 | 44 |
| 10 | 4299 | 44 |
| 11 | 4649 | 44 |
| 12 | 5359 | 44 |
| 13 | 5749 | 44 |
| 14 | 5854 | 44 |
| 15 | 5901 | 44 |
| 16 | 5975 | 44 |
| 17 | 6047 | 44 |
| 18 | 6088 | 44 |
| 19 | 6154 | 44 |
| 20 | 6453 | 44 |
| 21 | 7062 | 44 |
| 22 | 7256 | 44 |
| 23 | 7356 | 44 |
| 24 | 7372 | 44 |
| 25 | 7372 | 44 |
| 26 | 7388 | 44 |
| 27 | 7516 | 44 |
| 28 | 7548 | 44 |
| 29 | 7548 | 44 |
| 30 | 7732 | 44 |
| 0 | 8084 | 44 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (/ 1 x) (sqrt (pow y 3))) |
(* x (sqrt (/ 1 y))) |
(/ 1 (pow y 2)) |
(pow y 2) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt (pow y 3)))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(* (/ 1 x) (sqrt (pow y 3))) |
(/.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
(* x (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt (pow y 3)))) |
(/.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 0 | 19 | 36 |
| 1 | 69 | 32 |
| 2 | 356 | 30 |
| 3 | 2212 | 30 |
| 0 | 8291 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) |
(/.f64 y (/.f64 x (sqrt.f64 y))) |
(/.f64 x (sqrt.f64 y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (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 (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) (sqrt.f64 y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.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 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 x (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -5/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -5/4 binary64))) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -5/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -5/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 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 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.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 (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) (sqrt.f64 y)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) |
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) |
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 y (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal -2 binary64)) y) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y)))) (/.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -1/4 binary64))))) (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x y))) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 x) y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 x))) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)))) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 x) (sqrt.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y))) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) y) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (neg.f64 (sqrt.f64 y)) x)) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) x)) (neg.f64 (sqrt.f64 y))) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 (neg.f64 y) y) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) y)) (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (/.f64 (neg.f64 (sqrt.f64 y)) 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 (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (sqrt.f64 y) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x))) (/.f64 x (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (/.f64 x (*.f64 (neg.f64 y) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (log.f64 y))) |
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) (log.f64 (sqrt.f64 y)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 (/.f64 y x) y)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (log.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) #s(literal 0 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #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 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(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 0 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) (+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) y) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))) |
(neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -2 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -3 binary64))))) (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))))) (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (/.f64 (neg.f64 (sqrt.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y))) (*.f64 (neg.f64 (sqrt.f64 y)) x)) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 x))) (neg.f64 y)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -2 binary64))) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -3 binary64))) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) x)) |
(/.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) x)) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(fma.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 0 binary64) (/.f64 x (sqrt.f64 y))) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 x (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 y)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 0 binary64)) (/.f64 x (sqrt.f64 y))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y))) |
(+.f64 (/.f64 x (sqrt.f64 y)) #s(literal 0 binary64)) |
Compiled 7 460 to 1 689 computations (77.4% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 526 | 1 | 527 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 8 | 8 |
| Total | 527 | 10 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ✓ | 66.9% | (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
| 99.1% | (/.f64 (/.f64 (sqrt.f64 y) (*.f64 (/.f64 y x) y)) (sqrt.f64 y)) | |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 88.3% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 82.9% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
| ✓ | 99.7% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | 74.1% | (*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) |
| ✓ | 87.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
Compiled 209 to 106 computations (49.3% saved)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 x y) y) |
(*.f64 x (/.f64 x (*.f64 (*.f64 y x) y))) |
(/.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 (/.f64 (*.f64 x x) y) (*.f64 y x)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(/.f64 x (*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (sqrt.f64 y) (*.f64 (/.f64 y x) y)) (sqrt.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 29.0ms | (/.f64 x (*.f64 y y)) |
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (*.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 -0.3b remaining (-4.4%)
Threshold costs -0.3b (-4.4%)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.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 |
|---|---|---|
| 88.3% | 1 | x |
| 88.3% | 1 | y |
| 88.3% | 1 | (/.f64 x (*.f64 y y)) |
| 88.3% | 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 | 360 | 8 |
| 0 | 2132 | 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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