
Time bar (total: 3.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 6 computations (14.3% saved)
| 350.0ms | 8 256× | 0 | valid |
ival-mult: 110.0ms (92.4% of total)ival-true: 6.0ms (5% of total)ival-assert: 3.0ms (2.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x y) y) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 40.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 7.0ms (97.9% 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 | 31 |
| 1 | 36 | 27 |
| 2 | 83 | 27 |
| 3 | 138 | 27 |
| 4 | 213 | 27 |
| 5 | 272 | 27 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 10 | 5 |
| 2 | 15 | 5 |
| 3 | 36 | 5 |
| 4 | 72 | 5 |
| 5 | 104 | 5 |
| 6 | 126 | 5 |
| 7 | 140 | 5 |
| 0 | 140 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(abs y)
(negabs x)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 x 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 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 10 | 10 |
| 2 | 15 | 10 |
| 3 | 36 | 10 |
| 4 | 72 | 10 |
| 5 | 104 | 10 |
| 6 | 126 | 10 |
| 7 | 140 | 10 |
| 0 | 140 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x y) y) |
| 9.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-mult: 4.0ms (105.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
| Outputs |
|---|
(* x (pow y 2)) |
(* x y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (* x y) y) (* x y)) |
| 1.0ms | x | @ | 0 | ((* (* x y) y) (* x y)) |
| 1.0ms | y | @ | -inf | ((* (* x y) y) (* x y)) |
| 1.0ms | x | @ | inf | ((* (* x y) y) (* x y)) |
| 1.0ms | y | @ | 0 | ((* (* x y) y) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 11 | 8 |
| 2 | 19 | 8 |
| 3 | 40 | 8 |
| 4 | 80 | 8 |
| 5 | 112 | 8 |
| 6 | 134 | 8 |
| 7 | 148 | 8 |
| 0 | 148 | 8 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (pow y 2)) |
(* x y) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y x) y) |
(* x y) |
(*.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 10 | 8 |
| 2 | 17 | 8 |
| 3 | 48 | 8 |
| 4 | 137 | 8 |
| 5 | 377 | 8 |
| 6 | 1703 | 8 |
| 0 | 9019 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
| Outputs |
|---|
(*.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 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 x))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(*.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 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(*.f64 (*.f64 y y) (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 y y) (neg.f64 x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64))) (neg.f64 x)) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64))) x) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))))) |
(neg.f64 (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (neg.f64 x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x))) |
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) x (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(fma.f64 (neg.f64 x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(fma.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(fma.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 (cosh.f64 (log.f64 y)) (*.f64 y x) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 y x))) |
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x))) |
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(fma.f64 (*.f64 y x) (cosh.f64 (log.f64 y)) (*.f64 (*.f64 y x) (sinh.f64 (log.f64 y)))) |
(fma.f64 x (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(fma.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(fma.f64 x (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x)) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x))) |
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (*.f64 y x)) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 y x))) |
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 y x) (cosh.f64 (log.f64 y))) (*.f64 (*.f64 y x) (sinh.f64 (log.f64 y)))) |
(+.f64 (*.f64 x (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (*.f64 x (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(+.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))) |
(+.f64 (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y)) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (neg.f64 x))) |
(*.f64 (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 y) x))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 y (neg.f64 x)) |
(*.f64 y x) |
(*.f64 x y) |
(neg.f64 (*.f64 y x)) |
(fma.f64 (neg.f64 x) (cosh.f64 (log.f64 y)) (*.f64 (neg.f64 x) (sinh.f64 (log.f64 y)))) |
(fma.f64 (cosh.f64 (log.f64 y)) (neg.f64 x) (*.f64 (sinh.f64 (log.f64 y)) (neg.f64 x))) |
(fma.f64 (cosh.f64 (log.f64 y)) x (*.f64 (sinh.f64 (log.f64 y)) x)) |
(fma.f64 x (cosh.f64 (log.f64 y)) (*.f64 x (sinh.f64 (log.f64 y)))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) (*.f64 (sinh.f64 (log.f64 y)) (neg.f64 x))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) x) (*.f64 (sinh.f64 (log.f64 y)) x)) |
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (log.f64 y)))) |
(+.f64 (*.f64 x (cosh.f64 (log.f64 y))) (*.f64 x (sinh.f64 (log.f64 y)))) |
Compiled 1 322 to 224 computations (83.1% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 6 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 85 | 7 | 92 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.0% | (/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
| ▶ | 90.3% | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
| ▶ | 90.3% | (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
| 99.5% | (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y) | |
| ▶ | 99.6% | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
| ▶ | 86.2% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 107 to 84 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 (sqrt.f64 y) x) | |
| cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) | |
| cost-diff | 0 | (pow.f64 y #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) | |
| cost-diff | 2 | (*.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) | |
| cost-diff | 4 | (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 92 |
| 0 | 31 | 92 |
| 1 | 57 | 92 |
| 2 | 128 | 80 |
| 3 | 237 | 80 |
| 4 | 471 | 80 |
| 5 | 639 | 80 |
| 6 | 670 | 80 |
| 7 | 723 | 80 |
| 8 | 779 | 80 |
| 9 | 805 | 80 |
| 10 | 815 | 80 |
| 0 | 815 | 80 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
x |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
x |
(sqrt.f64 y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
x |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
(*.f64 x y) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
x |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
x |
(sqrt.f64 y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.2265625 | (*.f64 (sqrt.f64 y) x) | |
| accuracy | 6.207392832571668 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) | |
| accuracy | 10.291616693930191 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) | |
| accuracy | 0.0 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1 binary64)) | |
| accuracy | 8.946284035534179 | (/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 8.860881258238612 | (*.f64 (*.f64 y y) x) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) | |
| accuracy | 0.21875 | (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) | |
| accuracy | 0.2265625 | (*.f64 (sqrt.f64 y) x) |
| 87.0ms | 256× | 0 | valid |
Compiled 94 to 20 computations (78.7% saved)
ival-pow: 55.0ms (74.9% of total)ival-mult: 14.0ms (19.1% of total)ival-div: 2.0ms (2.7% of total)ival-sqrt: 2.0ms (2.7% 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 (sqrt.f64 y) x) (sqrt.f64 y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
(*.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
(pow.f64 y #s(literal 3/2 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
| Outputs |
|---|
(* x y) |
(* x (pow y 2)) |
(* x (sqrt y)) |
x |
(* x (sqrt (pow y 3))) |
(sqrt y) |
(pow y 2) |
(/ 1 (pow y 2)) |
(sqrt (pow y 3)) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* x (* (pow y 2) (pow (sqrt -1) 2))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 3/2) (* (sqrt y) x))) |
| 3.0ms | x | @ | 0 | ((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 3/2) (* (sqrt y) x))) |
| 2.0ms | y | @ | inf | ((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 3/2) (* (sqrt y) x))) |
| 2.0ms | x | @ | -inf | ((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 3/2) (* (sqrt y) x))) |
| 2.0ms | y | @ | 0 | ((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2) (* (pow y 3/2) (* (sqrt y) x))) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 72 |
| 1 | 70 | 65 |
| 2 | 195 | 64 |
| 3 | 540 | 64 |
| 4 | 938 | 64 |
| 5 | 1309 | 64 |
| 6 | 1621 | 64 |
| 7 | 1642 | 64 |
| 8 | 1642 | 64 |
| 9 | 1642 | 64 |
| 10 | 1642 | 64 |
| 11 | 1642 | 64 |
| 12 | 1936 | 64 |
| 0 | 1936 | 64 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x y) |
(* x (pow y 2)) |
(* x (sqrt y)) |
x |
(* x (sqrt (pow y 3))) |
(sqrt y) |
(pow y 2) |
(/ 1 (pow y 2)) |
(sqrt (pow y 3)) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* x (* (pow y 2) (pow (sqrt -1) 2))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* x y) |
(*.f64 x y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (sqrt y)) |
(*.f64 (sqrt.f64 y) x) |
x |
(* x (sqrt (pow y 3))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
(sqrt y) |
(sqrt.f64 y) |
(pow y 2) |
(*.f64 y y) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(*.f64 x y) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y y) x) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(*.f64 (sqrt.f64 y) x) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* x (* (pow y 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 y y) x) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 67 |
| 0 | 31 | 73 |
| 1 | 79 | 53 |
| 2 | 230 | 49 |
| 0 | 917 | 49 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
(*.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
(pow.f64 y #s(literal 3/2 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (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 -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 y)))) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 x y) |
(*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))) |
(*.f64 y x) |
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 x (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 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 3/4 binary64))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64))) |
(*.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 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))) |
(*.f64 (*.f64 x y) y) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (*.f64 x (sqrt.f64 y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x (sqrt.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 x (*.f64 y y)) |
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(*.f64 y (*.f64 x y)) |
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) y)) |
(neg.f64 (*.f64 x (*.f64 (neg.f64 y) y))) |
(neg.f64 (*.f64 y (*.f64 (neg.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 y y)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) |
(neg.f64 (*.f64 (neg.f64 x) (*.f64 y y))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)))) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)))) |
(+.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(*.f64 (*.f64 x (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)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y))) |
(*.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (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)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
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(*.f64 x (*.f64 y y)) |
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(*.f64 y (*.f64 x y)) |
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) y)) |
(neg.f64 (*.f64 x (*.f64 (neg.f64 y) y))) |
(neg.f64 (*.f64 y (*.f64 (neg.f64 y) x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 y y)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x)) |
(neg.f64 (*.f64 (neg.f64 x) (*.f64 y y))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)))) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)))) |
(+.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
Compiled 4 312 to 831 computations (80.7% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 344 | 8 | 352 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 349 | 10 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
| 85.8% | (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| ▶ | 86.0% | (/.f64 x (pow.f64 y #s(literal -2 binary64))) |
| 96.6% | (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) | |
| ▶ | 86.1% | (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) x) |
| ▶ | 99.6% | (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) |
| 90.2% | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) | |
| ▶ | 99.6% | (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ✓ | 86.2% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 148 to 116 computations (21.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) | |
| cost-diff | 0 | (pow.f64 y #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) | |
| cost-diff | 4 | (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) | |
| cost-diff | 0 | (pow.f64 y #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal -2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) (sqrt.f64 y)) | |
| cost-diff | 4 | (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) x) | |
| cost-diff | 3 | (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 3 | (/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 109 |
| 0 | 37 | 108 |
| 1 | 63 | 100 |
| 2 | 133 | 96 |
| 3 | 350 | 88 |
| 4 | 983 | 88 |
| 5 | 1730 | 88 |
| 6 | 2321 | 88 |
| 7 | 2577 | 88 |
| 8 | 2861 | 88 |
| 9 | 2886 | 88 |
| 10 | 2886 | 88 |
| 0 | 2886 | 88 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) x) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
x |
(*.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 (pow.f64 y #s(literal -2 binary64))) |
x |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) |
(pow.f64 y #s(literal 3/4 binary64)) |
y |
#s(literal 3/4 binary64) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) |
x |
(sqrt.f64 y) |
| Outputs |
|---|
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 (*.f64 x y) y) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 y y) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
x |
(*.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 (sqrt.f64 y) x) y) |
(*.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
x |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
(pow.f64 y #s(literal 3/4 binary64)) |
y |
#s(literal 3/4 binary64) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) |
x |
(sqrt.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) | |
| accuracy | 0.21875 | (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) | |
| accuracy | 0.23828125 | (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) | |
| accuracy | 0.0 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 8.946284035534179 | (/.f64 x (pow.f64 y #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 x y) (sqrt.f64 y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.14453125 | (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 8.860881258238612 | (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) x) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.135097509768442 | (/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
| 47.0ms | 256× | 0 | valid |
Compiled 111 to 23 computations (79.3% saved)
ival-mult: 11.0ms (33.8% of total)ival-pow: 11.0ms (33.8% of total)ival-div: 7.0ms (21.5% of total)ival-sqrt: 2.0ms (6.1% of total)ival-neg: 1.0ms (3.1% 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 y) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) 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 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/4 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) |
| Outputs |
|---|
(* x (pow y 2)) |
(* -1 (* x y)) |
(* x (sqrt (pow y 3))) |
(* x y) |
(* (pow (* 1 (pow y 3)) 1/4) x) |
(* -1 y) |
(/ -1 y) |
(pow y 2) |
(sqrt y) |
(/ 1 (pow y 2)) |
(pow (* 1 (pow y 3)) 1/4) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
(* x (* (pow y 2) (pow (sqrt -1) 2))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(* x (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 68.0ms | x | @ | 0 | ((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg y) (/ -1 y)) (* (/ (neg y) (/ -1 y)) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ x (pow y -2)) (pow y -2) (* (pow y 3/4) (* (pow y 3/4) x)) (* (* (pow y 3/4) (* (pow y 3/4) x)) (sqrt y)) (pow y 3/4) (* (pow y 3/4) x)) |
| 48.0ms | y | @ | -inf | ((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg y) (/ -1 y)) (* (/ (neg y) (/ -1 y)) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ x (pow y -2)) (pow y -2) (* (pow y 3/4) (* (pow y 3/4) x)) (* (* (pow y 3/4) (* (pow y 3/4) x)) (sqrt y)) (pow y 3/4) (* (pow y 3/4) x)) |
| 37.0ms | x | @ | -inf | ((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg y) (/ -1 y)) (* (/ (neg y) (/ -1 y)) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ x (pow y -2)) (pow y -2) (* (pow y 3/4) (* (pow y 3/4) x)) (* (* (pow y 3/4) (* (pow y 3/4) x)) (sqrt y)) (pow y 3/4) (* (pow y 3/4) x)) |
| 24.0ms | y | @ | inf | ((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg y) (/ -1 y)) (* (/ (neg y) (/ -1 y)) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ x (pow y -2)) (pow y -2) (* (pow y 3/4) (* (pow y 3/4) x)) (* (* (pow y 3/4) (* (pow y 3/4) x)) (sqrt y)) (pow y 3/4) (* (pow y 3/4) x)) |
| 20.0ms | y | @ | 0 | ((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg y) (/ -1 y)) (* (/ (neg y) (/ -1 y)) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (/ x (pow y -2)) (pow y -2) (* (pow y 3/4) (* (pow y 3/4) x)) (* (* (pow y 3/4) (* (pow y 3/4) x)) (sqrt y)) (pow y 3/4) (* (pow y 3/4) x)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 105 |
| 1 | 95 | 97 |
| 2 | 282 | 91 |
| 3 | 706 | 91 |
| 4 | 1518 | 89 |
| 5 | 4860 | 89 |
| 0 | 8333 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (pow y 2)) |
(* -1 (* x y)) |
(* x (sqrt (pow y 3))) |
(* x y) |
(* (pow (* 1 (pow y 3)) 1/4) x) |
(* -1 y) |
(/ -1 y) |
(pow y 2) |
(sqrt y) |
(/ 1 (pow y 2)) |
(pow (* 1 (pow y 3)) 1/4) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
(* x (* (pow y 2) (pow (sqrt -1) 2))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(* x (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y))))))) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (sqrt (pow y 3))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
(* x y) |
(*.f64 x y) |
(* (pow (* 1 (pow y 3)) 1/4) x) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) x) |
(* -1 y) |
(neg.f64 y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(pow y 2) |
(*.f64 y y) |
(sqrt y) |
(sqrt.f64 y) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow (* 1 (pow y 3)) 1/4) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y y) x) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* x (* (pow y 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))) #s(literal 1/4 binary64)) |
(* x (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y))))))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))) #s(literal 1/4 binary64)) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 88 |
| 0 | 37 | 84 |
| 1 | 89 | 78 |
| 2 | 287 | 64 |
| 3 | 1191 | 61 |
| 4 | 7762 | 61 |
| 0 | 8106 | 61 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) 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 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/4 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal -2 binary64) (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal -2 binary64) (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (sqrt.f64 y) x)))) (neg.f64 (pow.f64 y #s(literal 3/8 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 13/8 binary64))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) (pow.f64 y #s(literal 13/8 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) y) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal 3/16 binary64))) (pow.f64 y #s(literal 3/16 binary64))) |
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(neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) |
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y)))) x (*.f64 (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x)) |
(fma.f64 (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) (*.f64 (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y))) (*.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y))))) |
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) x (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x)) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) x)) |
(fma.f64 x (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))))) |
(fma.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x)) |
(fma.f64 x (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) x)) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x)) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))))) |
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y)))) x) (*.f64 (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x)) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) (*.f64 (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x))) |
(+.f64 (*.f64 x (neg.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))))) (*.f64 x (sinh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) (cosh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y)))) (*.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) (sinh.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x)) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) x)) |
Compiled 21 011 to 3 224 computations (84.7% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 195 | 3 | 1 198 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 199 | 9 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | 86.0% | (/.f64 x (pow.f64 y #s(literal -2 binary64))) |
| ▶ | 85.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ▶ | 88.5% | (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
| ▶ | 90.2% | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) |
| ✓ | 99.6% | (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ▶ | 99.7% | (*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
| ✓ | 86.2% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 67 to 54 computations (19.4% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 2 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (pow.f64 y #s(literal 3/8 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) | |
| cost-diff | 0 | (pow.f64 y #s(literal 13/8 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 y) y) x) | |
| cost-diff | 4 | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 95 |
| 0 | 36 | 97 |
| 1 | 62 | 97 |
| 2 | 125 | 89 |
| 3 | 217 | 89 |
| 4 | 522 | 89 |
| 5 | 1181 | 89 |
| 6 | 2153 | 89 |
| 7 | 2574 | 89 |
| 8 | 2702 | 89 |
| 9 | 2753 | 89 |
| 10 | 2788 | 89 |
| 11 | 2788 | 89 |
| 12 | 2817 | 89 |
| 13 | 2817 | 89 |
| 0 | 2817 | 89 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
(*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
y |
(/.f64 x (pow.f64 y #s(literal -1/2 binary64))) |
x |
(pow.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sqrt.f64 y) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 y) y) x) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
x |
(*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
(pow.f64 y #s(literal 13/8 binary64)) |
y |
#s(literal 13/8 binary64) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) |
(pow.f64 y #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
x |
(/.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 |
| Outputs |
|---|
(*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 y) x)) |
(*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) |
y |
(/.f64 x (pow.f64 y #s(literal -1/2 binary64))) |
x |
(pow.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sqrt.f64 y) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 (sqrt.f64 y) y) x) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
x |
(*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 13/8 binary64)) x) (pow.f64 y #s(literal 3/8 binary64))) |
(pow.f64 y #s(literal 13/8 binary64)) |
y |
#s(literal 13/8 binary64) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) |
(pow.f64 y #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
x |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 x y) y) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.2049194045981666 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 8.946284035534179 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 13/8 binary64)) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 3/8 binary64)) | |
| accuracy | 0.26953125 | (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) | |
| accuracy | 7.327309953699157 | (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) | |
| accuracy | 0.15625 | (*.f64 (sqrt.f64 y) y) | |
| accuracy | 10.291616693930191 | (*.f64 (*.f64 (sqrt.f64 y) y) x) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.140625 | (*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) | |
| accuracy | 0.18359375 | (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) | |
| accuracy | 0.25 | (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) |
| 63.0ms | 256× | 0 | valid |
Compiled 97 to 23 computations (76.3% saved)
ival-pow: 16.0ms (36.8% of total)ival-mult: 15.0ms (34.5% of total)ival-div: 10.0ms (23% of total)ival-sqrt: 2.0ms (4.6% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
(*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 x (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 y) y) x) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
(*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
(pow.f64 y #s(literal 13/8 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) |
(pow.f64 y #s(literal 3/8 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(* x (pow y 2)) |
(* x (sqrt (pow y 3))) |
(* x (sqrt y)) |
(* (pow (* 1 (pow y 3)) 1/8) x) |
(sqrt (/ 1 y)) |
(sqrt (pow y 3)) |
(sqrt y) |
(pow (* 1 (pow y 13)) 1/8) |
(pow (* 1 (pow y 3)) 1/8) |
(/ 1 (pow y 2)) |
(pow y 2) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (sqrt (pow y 3)))) |
(* -1 (* x (sqrt y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (pow -1 1/4) (* x (pow y 2))) |
(exp (* 1/8 (+ (log -1) (* -13 (log (/ -1 y)))))) |
(* x (exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 y))))))) |
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | y | @ | 0 | ((* (* y (/ x (pow y -1/2))) (sqrt y)) (* y (/ x (pow y -1/2))) (/ x (pow y -1/2)) (pow y -1/2) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (sqrt y) (* (pow y 13/8) (* (pow y 3/8) x)) (pow y 13/8) (* (pow y 3/8) x) (pow y 3/8) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y)) |
| 39.0ms | y | @ | inf | ((* (* y (/ x (pow y -1/2))) (sqrt y)) (* y (/ x (pow y -1/2))) (/ x (pow y -1/2)) (pow y -1/2) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (sqrt y) (* (pow y 13/8) (* (pow y 3/8) x)) (pow y 13/8) (* (pow y 3/8) x) (pow y 3/8) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y)) |
| 38.0ms | y | @ | -inf | ((* (* y (/ x (pow y -1/2))) (sqrt y)) (* y (/ x (pow y -1/2))) (/ x (pow y -1/2)) (pow y -1/2) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (sqrt y) (* (pow y 13/8) (* (pow y 3/8) x)) (pow y 13/8) (* (pow y 3/8) x) (pow y 3/8) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y)) |
| 37.0ms | x | @ | 0 | ((* (* y (/ x (pow y -1/2))) (sqrt y)) (* y (/ x (pow y -1/2))) (/ x (pow y -1/2)) (pow y -1/2) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (sqrt y) (* (pow y 13/8) (* (pow y 3/8) x)) (pow y 13/8) (* (pow y 3/8) x) (pow y 3/8) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y)) |
| 23.0ms | x | @ | inf | ((* (* y (/ x (pow y -1/2))) (sqrt y)) (* y (/ x (pow y -1/2))) (/ x (pow y -1/2)) (pow y -1/2) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (sqrt y) (* (pow y 13/8) (* (pow y 3/8) x)) (pow y 13/8) (* (pow y 3/8) x) (pow y 3/8) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 141 |
| 1 | 142 | 138 |
| 2 | 383 | 128 |
| 3 | 989 | 128 |
| 4 | 2155 | 125 |
| 5 | 7599 | 125 |
| 0 | 8552 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (pow y 2)) |
(* x (sqrt (pow y 3))) |
(* x (sqrt y)) |
(* (pow (* 1 (pow y 3)) 1/8) x) |
(sqrt (/ 1 y)) |
(sqrt (pow y 3)) |
(sqrt y) |
(pow (* 1 (pow y 13)) 1/8) |
(pow (* 1 (pow y 3)) 1/8) |
(/ 1 (pow y 2)) |
(pow y 2) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (sqrt (pow y 3)))) |
(* -1 (* x (sqrt y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (pow -1 1/4) (* x (pow y 2))) |
(exp (* 1/8 (+ (log -1) (* -13 (log (/ -1 y)))))) |
(* x (exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 y))))))) |
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 y)))))) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (sqrt (pow y 3))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
(* x (sqrt y)) |
(*.f64 (sqrt.f64 y) x) |
(* (pow (* 1 (pow y 3)) 1/8) x) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt y) |
(sqrt.f64 y) |
(pow (* 1 (pow y 13)) 1/8) |
(pow.f64 (pow.f64 y #s(literal 13 binary64)) #s(literal 1/8 binary64)) |
(pow (* 1 (pow y 3)) 1/8) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (sqrt (pow y 3)))) |
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* x (sqrt y))) |
(*.f64 (neg.f64 x) (sqrt.f64 y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y y) x) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* (pow -1 1/4) (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) y) y) |
(exp (* 1/8 (+ (log -1) (* -13 (log (/ -1 y)))))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -13 binary64))) #s(literal 1/8 binary64)) |
(* x (exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 y))))))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))) #s(literal 1/8 binary64)) x) |
(exp (* 1/8 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))) #s(literal 1/8 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 81 |
| 0 | 36 | 87 |
| 1 | 96 | 80 |
| 2 | 313 | 80 |
| 3 | 1450 | 60 |
| 0 | 8710 | 60 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
(*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 x (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 y) y) x) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
(*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
(pow.f64 y #s(literal 13/8 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) |
(pow.f64 y #s(literal 3/8 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 19/16 binary64)) x) (pow.f64 y #s(literal 13/32 binary64)))) (pow.f64 y #s(literal 13/32 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 13/8 binary64)) x) (neg.f64 (pow.f64 y #s(literal 3/16 binary64))))) (neg.f64 (pow.f64 y #s(literal 3/16 binary64)))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/16 binary64)) x))) (pow.f64 y #s(literal 3/16 binary64))) |
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 19/16 binary64)) (cosh.f64 (*.f64 #s(literal 13/16 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal 19/16 binary64)) (sinh.f64 (*.f64 #s(literal 13/16 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 13/16 binary64)))) (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64))) (pow.f64 y #s(literal 13/16 binary64))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))))) (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64)))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 y))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 29/16 binary64)) (cosh.f64 (*.f64 #s(literal 3/16 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal 29/16 binary64)) (sinh.f64 (*.f64 #s(literal 3/16 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 13/16 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 13/16 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 13/16 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64))) (pow.f64 y #s(literal 13/16 binary64))))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 13/16 binary64))) (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))))) (*.f64 (neg.f64 (pow.f64 y #s(literal 13/16 binary64))) (*.f64 (pow.f64 y #s(literal 13/16 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64)))))) |
(+.f64 (*.f64 y (cosh.f64 (log.f64 y))) (*.f64 y (sinh.f64 (log.f64 y)))) |
(+.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -13/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 3/8 binary64)))) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 13/8 binary64))) (pow.f64 y #s(literal 3/8 binary64))))) |
(+.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 13/8 binary64)))) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64))) (pow.f64 y #s(literal 13/8 binary64))))) |
(+.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (cosh.f64 (*.f64 #s(literal -13/8 binary64) (log.f64 y))))) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 13/8 binary64)))))) |
(+.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))))) (neg.f64 (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64)))))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (neg.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (cosh.f64 (*.f64 #s(literal -13/8 binary64) (log.f64 y)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 13/8 binary64))))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 13/8 binary64))) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 13/8 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64))))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 13/8 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (cosh.f64 (*.f64 #s(literal -13/8 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 13/8 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 13/8 binary64))) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -13/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 3/8 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 13/8 binary64))) (pow.f64 y #s(literal 3/8 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 13/8 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64))) (pow.f64 y #s(literal 13/8 binary64)))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 13/8 binary64)))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (cosh.f64 (*.f64 #s(literal -13/8 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (cosh.f64 (*.f64 #s(literal -13/8 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 13/8 binary64))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64)))) (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64))))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
Compiled 18 204 to 3 133 computations (82.8% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 012 | 2 | 1 014 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 1 | 4 | 5 |
| Total | 1 014 | 9 | 1 023 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | 85.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 86.0% | (/.f64 x #s(approx (/ 1 (* y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) | |
| ✓ | 88.5% | (*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
| ✓ | 90.2% | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) |
| ✓ | 99.6% | (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| 99.5% | (*.f64 (*.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (sqrt.f64 y)) | |
| ✓ | 86.2% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 251 to 130 computations (48.2% saved)
Total -9.2b remaining (-8153.2%)
Threshold costs -9.2b (-8153.2%)
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) x) |
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 x #s(approx (/ 1 (* y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y)) |
(*.f64 (*.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (sqrt.f64 y)) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal 13/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sqrt.f64 y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y) |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
3 calls:
| 7.0ms | x |
| 5.0ms | y |
| 4.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 (*.f64 x y) y) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 7 to 8 computations (-14.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
| 1× | fuel |
Compiled 5 to 4 computations (20% saved)
(negabs x)
(abs y)
Compiled 60 to 48 computations (20% saved)
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