
Time bar (total: 3.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 6 computations (14.3% saved)
| 508.0ms | 8 256× | 0 | valid |
ival-mult: 148.0ms (93.1% of total)ival-true: 6.0ms (3.8% of total)ival-assert: 3.0ms (1.9% of total)adjust: 2.0ms (1.3% 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 |
| 19.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 7.0ms (96.9% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 0.12890625 | (*.f64 (*.f64 x y) y) |
| 32.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-mult: 3.0ms (86% of total)ival-true: 0.0ms (0% of total)adjust: 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)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 5 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 6 | 92 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.8% | (/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
| ▶ | 92.9% | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
| ▶ | 92.7% | (*.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))) |
| ▶ | 99.5% | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
| ▶ | 86.7% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 89 to 70 computations (21.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) | |
| cost-diff | 0 | (pow.f64 y #s(literal 1/4 binary64)) | |
| cost-diff | 2 | (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) | |
| cost-diff | 6 | (*.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))) | |
| 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 | 3 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) | |
| 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: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 108 |
| 0 | 36 | 105 |
| 1 | 66 | 105 |
| 2 | 164 | 85 |
| 3 | 335 | 85 |
| 4 | 873 | 85 |
| 5 | 2248 | 85 |
| 6 | 2909 | 83 |
| 7 | 3160 | 83 |
| 8 | 3184 | 83 |
| 9 | 3206 | 83 |
| 10 | 3218 | 83 |
| 11 | 3218 | 83 |
| 12 | 3218 | 83 |
| 13 | 4948 | 83 |
| 14 | 4950 | 83 |
| 15 | 4972 | 83 |
| 16 | 4974 | 83 |
| 17 | 4974 | 83 |
| 18 | 5779 | 83 |
| 19 | 5779 | 83 |
| 20 | 5779 | 83 |
| 21 | 6915 | 83 |
| 0 | 6915 | 83 |
| 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 (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 |
(*.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))) |
(pow.f64 y #s(literal 1/4 binary64)) |
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 3/2 binary64)) x) |
(pow.f64 y #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
x |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
(*.f64 (*.f64 x y) y) |
(*.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 (*.f64 x y) y) |
(*.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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (*.f64 x y) 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 |
(*.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 (*.f64 x y) y) |
(pow.f64 y #s(literal 1/4 binary64)) |
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 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 7 binary64)) x) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
(pow.f64 y #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 y #s(literal 1/4 binary64)) | |
| accuracy | 0.203125 | (*.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))) | |
| accuracy | 0.20703125 | (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) | |
| accuracy | 7.981523574458805 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 y) x) | |
| accuracy | 4.520331459925071 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 8.473944826768246 | (/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 8.49386750182205 | (*.f64 (*.f64 y y) x) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 y) x) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
| 59.0ms | 256× | 0 | valid |
Compiled 110 to 23 computations (79.1% saved)
ival-mult: 13.0ms (30.8% of total)ival-sqrt: 13.0ms (30.8% of total)ival-pow: 13.0ms (30.8% of total)ival-div: 2.0ms (4.7% of total)ival-true: 0.0ms (0% of total)adjust: 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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(pow.f64 y #s(literal 3/2 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 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(pow.f64 y #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
| Outputs |
|---|
(* x y) |
(* x (pow y 2)) |
(* x (sqrt y)) |
x |
(* (pow (* 1 (pow y 7)) 1/4) x) |
(* x (sqrt (pow y 3))) |
(sqrt y) |
(pow y 2) |
(/ 1 (pow y 2)) |
(sqrt (pow y 3)) |
(pow (* 1 y) 1/4) |
(* -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))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* x (* (exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y)))))) (sqrt -1))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | 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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x)) |
| 44.0ms | 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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x)) |
| 27.0ms | 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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x)) |
| 16.0ms | 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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x)) |
| 12.0ms | 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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 107 |
| 1 | 133 | 96 |
| 2 | 419 | 92 |
| 3 | 1095 | 92 |
| 4 | 2463 | 90 |
| 0 | 8421 | 90 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* x (pow y 2)) |
(* x (sqrt y)) |
x |
(* (pow (* 1 (pow y 7)) 1/4) x) |
(* x (sqrt (pow y 3))) |
(sqrt y) |
(pow y 2) |
(/ 1 (pow y 2)) |
(sqrt (pow y 3)) |
(pow (* 1 y) 1/4) |
(* -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))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* x (* (exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y)))))) (sqrt -1))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
| Outputs |
|---|
(* x y) |
(*.f64 x y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (sqrt y)) |
(*.f64 (sqrt.f64 y) x) |
x |
(* (pow (* 1 (pow y 7)) 1/4) x) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64)) 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 #s(literal 1 binary64) (*.f64 y y)) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(pow (* 1 y) 1/4) |
(pow.f64 y #s(literal 1/4 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 (neg.f64 y) (*.f64 x y)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* x (* (exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y)))))) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 7 binary64))) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(pow.f64 y #s(literal 1/4 binary64)) |
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))) |
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 84 |
| 0 | 36 | 85 |
| 1 | 94 | 61 |
| 2 | 311 | 57 |
| 3 | 1683 | 57 |
| 0 | 8441 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(pow.f64 y #s(literal 3/2 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 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(pow.f64 y #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) y) |
(*.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64)))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/8 binary64)))) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 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 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) |
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal 3/8 binary64)))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (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 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/8 binary64))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (sqrt.f64 y)))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (neg.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (sqrt.f64 y))))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (sqrt.f64 y)))) |
(*.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 y)))) |
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(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))) |
(*.f64 (*.f64 x y) (sqrt.f64 y)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))) |
(*.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 3/2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(*.f64 (*.f64 x (sqrt.f64 y)) y) |
(*.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 x y)) |
(*.f64 y (*.f64 x (sqrt.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x)) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) (*.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))) (-.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (-.f64 (*.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) (*.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))))) |
(neg.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal 3/4 binary64)))) |
(neg.f64 (*.f64 (*.f64 x y) (neg.f64 (sqrt.f64 y)))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)))) |
(neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x y))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x)) |
(fma.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (neg.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) x)) |
(-.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x)) |
(+.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
Compiled 21 819 to 3 132 computations (85.6% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 176 | 9 | 1 185 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 178 | 13 | 1 191 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.6% | (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
| ▶ | 99.7% | (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
| ▶ | 86.6% | (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ▶ | 86.8% | (/.f64 x (pow.f64 y #s(literal -2 binary64))) |
| ▶ | 86.3% | (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) |
| ✓ | 92.9% | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
| 98.2% | (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) | |
| 99.6% | (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) y) | |
| 99.5% | (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) | |
| ✓ | 99.5% | (*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
| 92.7% | (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) | |
| ✓ | 86.7% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 175 to 145 computations (17.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) | |
| cost-diff | 0 | (pow.f64 y #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (*.f64 x (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) | |
| 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 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 2 | (*.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 2 | (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 89 |
| 0 | 40 | 89 |
| 1 | 62 | 89 |
| 2 | 133 | 83 |
| 3 | 246 | 83 |
| 4 | 444 | 79 |
| 5 | 644 | 79 |
| 6 | 732 | 79 |
| 7 | 789 | 79 |
| 8 | 1016 | 79 |
| 9 | 1168 | 79 |
| 10 | 1282 | 79 |
| 11 | 1282 | 79 |
| 0 | 1282 | 79 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x y) |
x |
y |
(pow.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
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 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
(pow.f64 y #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
#s(literal -4 binary64) |
x |
| Outputs |
|---|
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 y y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(pow.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) x) |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow.f64 y #s(literal -2 binary64)) |
(*.f64 y y) |
y |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 y y) x) |
x |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (sqrt.f64 y)) |
(*.f64 x (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) x) |
x |
(sqrt.f64 y) |
y |
(pow.f64 y #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
#s(literal -4 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 0.4989015625901448 | (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) | |
| accuracy | 8.49386750182205 | (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.00390625 | (pow.f64 y #s(literal -3/2 binary64)) | |
| accuracy | 0.234375 | (*.f64 x (sqrt.f64 y)) | |
| accuracy | 4.060269695131004 | (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) | |
| accuracy | 0.00390625 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 8.473944826768246 | (/.f64 x (pow.f64 y #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.2749963317046312 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 8.473944826768246 | (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.00390625 | (pow.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.16082001953688402 | (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
| 123.0ms | 256× | 0 | valid |
Compiled 91 to 26 computations (71.4% saved)
ival-div: 61.0ms (56.6% of total)exact: 17.0ms (15.8% of total)ival-pow: 17.0ms (15.8% of total)ival-mult: 8.0ms (7.4% of total)ival-sqrt: 5.0ms (4.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x y) |
(pow.f64 y #s(literal -1 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(pow.f64 y #s(literal -3/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(* x (pow y 2)) |
(* x y) |
x |
(* x (sqrt y)) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt y) |
(sqrt (/ 1 (pow y 3))) |
(sqrt (/ 1 y)) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) |
(/ (* x (pow y 2)) (pow (sqrt -1) 4)) |
(/ (pow y 2) (pow (sqrt -1) 4)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | -inf | ((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2)) |
| 2.0ms | y | @ | 0 | ((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2)) |
| 2.0ms | y | @ | inf | ((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2)) |
| 1.0ms | x | @ | -inf | ((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2)) |
| 1.0ms | x | @ | 0 | ((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 65 |
| 1 | 61 | 62 |
| 2 | 138 | 61 |
| 3 | 300 | 61 |
| 4 | 922 | 61 |
| 5 | 1803 | 61 |
| 6 | 2059 | 61 |
| 7 | 2162 | 61 |
| 8 | 2300 | 61 |
| 9 | 2312 | 61 |
| 10 | 2317 | 61 |
| 11 | 2317 | 61 |
| 12 | 2317 | 61 |
| 13 | 2701 | 61 |
| 14 | 2813 | 61 |
| 15 | 2813 | 61 |
| 16 | 2931 | 61 |
| 17 | 3385 | 61 |
| 18 | 3866 | 61 |
| 19 | 3972 | 61 |
| 20 | 4111 | 61 |
| 21 | 4473 | 61 |
| 22 | 4655 | 61 |
| 0 | 4990 | 61 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* x (pow y 2)) |
(* x y) |
x |
(* x (sqrt y)) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt y) |
(sqrt (/ 1 (pow y 3))) |
(sqrt (/ 1 y)) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) |
(/ (* x (pow y 2)) (pow (sqrt -1) 4)) |
(/ (pow y 2) (pow (sqrt -1) 4)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
x |
(* x (sqrt y)) |
(*.f64 (sqrt.f64 y) x) |
(/ 1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt (/ 1 (pow y 3))) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) y)) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(*.f64 (sqrt.f64 y) x) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) |
(/ (* x (pow y 2)) (pow (sqrt -1) 4)) |
(*.f64 (*.f64 y y) x) |
(/ (pow y 2) (pow (sqrt -1) 4)) |
(*.f64 y y) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 73 |
| 0 | 40 | 70 |
| 1 | 114 | 66 |
| 2 | 415 | 56 |
| 3 | 2491 | 56 |
| 0 | 8639 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x y) |
(pow.f64 y #s(literal -1 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(pow.f64 y #s(literal -3/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5/4 binary64))) (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 x (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 x (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (/.f64 x (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64))) |
(*.f64 (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64))) (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 x (pow.f64 y #s(literal -3/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (*.f64 y x) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 y) x) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (*.f64 y (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y x)) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(*.f64 (sqrt.f64 y) (/.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 y x))) |
(*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (*.f64 y y) (neg.f64 x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y x) y) |
(*.f64 x (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -3/8 binary64))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -3/2 binary64))) |
(/.f64 (neg.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) |
(/.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (neg.f64 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) (*.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 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/4 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #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 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 y) x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -3/2 binary64))) |
(/.f64 (*.f64 y (*.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (*.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 y (*.f64 y x))) |
(fma.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 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 x (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(+.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 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(*.f64 (*.f64 y #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (/.f64 x (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) |
(*.f64 y (neg.f64 x)) |
(*.f64 y x) |
(*.f64 (neg.f64 x) y) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 x y) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 y x) #s(literal -1 binary64)) |
(/.f64 x (pow.f64 y #s(literal -1 binary64))) |
(neg.f64 (*.f64 y x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal -7/8 binary64))) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 5/4 binary64)))) (pow.f64 y #s(literal -3/8 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -5/4 binary64))) (pow.f64 y #s(literal -3/8 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -7/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -7/8 binary64)) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal -5/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (fabs.f64 (pow.f64 y #s(literal -7/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal -7/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -7/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/4 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 -3/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
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(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
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(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (neg.f64 (log.f64 y)))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)) |
(/.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)) |
(neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) (cosh.f64 (log.f64 (sqrt.f64 y)))) |
(sqrt.f64 (pow.f64 y #s(literal -1 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 y)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
Compiled 9 274 to 2 001 computations (78.4% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 3 | 699 |
| Fresh | 0 | 4 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 700 | 12 | 712 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.6% | (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
| ▶ | 99.7% | (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 86.8% | (/.f64 x (pow.f64 y #s(literal -2 binary64))) |
| ▶ | 86.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ▶ | 86.2% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) |
| ✓ | 92.9% | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
| 98.2% | (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) | |
| 99.6% | (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) y) | |
| ▶ | 99.5% | (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) |
| ▶ | 92.7% | (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) |
| ✓ | 86.7% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 151 to 127 computations (15.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) | |
| cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) | |
| cost-diff | 1 | (pow.f64 y #s(literal 1/2 binary64)) | |
| cost-diff | 4 | (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 y) x) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 1 | (*.f64 (sqrt.f64 y) y) | |
| cost-diff | 3 | (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) | |
| 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 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 2 | (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 110 |
| 0 | 39 | 98 |
| 1 | 68 | 89 |
| 2 | 119 | 89 |
| 3 | 202 | 89 |
| 4 | 460 | 89 |
| 5 | 918 | 89 |
| 6 | 1598 | 89 |
| 7 | 1654 | 89 |
| 8 | 1665 | 89 |
| 9 | 1676 | 89 |
| 10 | 1694 | 89 |
| 11 | 1694 | 89 |
| 0 | 1694 | 89 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.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 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
(*.f64 (sqrt.f64 y) x) |
x |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) |
(pow.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 y) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
#s(literal 1 binary64) |
(sqrt.f64 y) |
y |
#s(literal -4 binary64) |
x |
| Outputs |
|---|
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 y y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (sqrt.f64 y) y) |
(pow.f64 y #s(literal 3/2 binary64)) |
(sqrt.f64 y) |
y |
(*.f64 (sqrt.f64 y) x) |
x |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) |
(*.f64 y x) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) |
(*.f64 (sqrt.f64 y) x) |
(pow.f64 y #s(literal 1/2 binary64)) |
(sqrt.f64 y) |
y |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 y) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
#s(literal 1 binary64) |
(sqrt.f64 y) |
y |
#s(literal -4 binary64) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.28515625 | (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) | |
| accuracy | 0.4989015625901448 | (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) | |
| accuracy | 8.49386750182205 | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) | |
| accuracy | 0.0078125 | (pow.f64 y #s(literal 1/2 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) | |
| accuracy | 0.234375 | (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.1875 | (*.f64 (sqrt.f64 y) y) | |
| accuracy | 0.234375 | (*.f64 (sqrt.f64 y) x) | |
| accuracy | 4.520331459925071 | (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.2749963317046312 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 8.473944826768246 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.16082001953688402 | (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| 58.0ms | 256× | 0 | valid |
Compiled 112 to 22 computations (80.4% saved)
ival-mult: 24.0ms (54.6% of total)ival-sqrt: 10.0ms (22.8% of total)ival-div: 7.0ms (15.9% of total)ival-pow: 3.0ms (6.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) |
(pow.f64 y #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
| Outputs |
|---|
(* x (pow y 2)) |
(* x y) |
(* x (sqrt y)) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt (pow y 3)) |
(sqrt y) |
(sqrt (/ 1 y)) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(* x (* (pow y 2) (pow (sqrt -1) 4))) |
(* (pow y 2) (pow (sqrt -1) 4)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | inf | ((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y))) |
| 5.0ms | y | @ | -inf | ((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y))) |
| 2.0ms | y | @ | inf | ((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y))) |
| 2.0ms | y | @ | 0 | ((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y))) |
| 1.0ms | x | @ | -inf | ((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 59 |
| 1 | 79 | 59 |
| 2 | 259 | 59 |
| 3 | 656 | 59 |
| 4 | 1123 | 59 |
| 5 | 1585 | 59 |
| 6 | 1905 | 59 |
| 7 | 1967 | 59 |
| 8 | 1967 | 59 |
| 9 | 1967 | 59 |
| 10 | 1967 | 59 |
| 11 | 1967 | 59 |
| 12 | 2207 | 59 |
| 0 | 2207 | 59 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (pow y 2)) |
(* x y) |
(* x (sqrt y)) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt (pow y 3)) |
(sqrt y) |
(sqrt (/ 1 y)) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(* x (* (pow y 2) (pow (sqrt -1) 4))) |
(* (pow y 2) (pow (sqrt -1) 4)) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x (sqrt y)) |
(*.f64 (sqrt.f64 y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y y) 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) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y))) |
(*.f64 (sqrt.f64 y) x) |
(* -1 (* x (* y (pow (sqrt -1) 2)))) |
(*.f64 y x) |
(* x (* (pow y 2) (pow (sqrt -1) 4))) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (pow (sqrt -1) 4)) |
(*.f64 y y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 91 |
| 0 | 39 | 75 |
| 1 | 101 | 61 |
| 2 | 314 | 61 |
| 0 | 1320 | 61 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
(*.f64 (sqrt.f64 y) x) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) |
(pow.f64 y #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (*.f64 y (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal 7/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64)))) |
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(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 (*.f64 y y) x)) |
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))) |
(fma.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 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sinh.f64 (log.f64 (sqrt.f64 y))))) |
(fma.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 x (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 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 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sinh.f64 (log.f64 (sqrt.f64 y))))) |
(+.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 7/4 binary64))) |
(*.f64 (neg.f64 y) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 y (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))))) |
(/.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.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 (/.f64 y #s(literal -1 binary64)) y)) |
(neg.f64 (*.f64 y y)) |
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64)))) |
(fma.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))))) |
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 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 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(*.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 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.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))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sqrt.f64 y))) |
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (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 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 (sqrt.f64 y))))) |
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) |
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
Compiled 5 265 to 1 096 computations (79.2% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 401 | 1 | 402 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 402 | 12 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.6% | (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
| ✓ | 99.7% | (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| 99.5% | (/.f64 (*.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) | |
| ✓ | 86.8% | (/.f64 x (pow.f64 y #s(literal -2 binary64))) |
| ✓ | 86.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ✓ | 86.2% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) |
| ✓ | 92.9% | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
| 98.2% | (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) | |
| ✓ | 99.5% | (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) |
| ✓ | 92.7% | (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) |
| ✓ | 86.7% | (*.f64 (*.f64 y y) x) |
| ✓ | 99.8% | (*.f64 (*.f64 x y) y) |
Compiled 250 to 140 computations (44% saved)
Total -8.9b remaining (-6867.4%)
Threshold costs -8.9b (-6867.4%)
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) |
(/.f64 (*.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (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 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x) |
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) y) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x) |
(*.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 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))) |
| Outputs |
|---|
(*.f64 (*.f64 x y) y) |
3 calls:
| 33.0ms | 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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