
Time bar (total: 5.9s)
| 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 9 to 8 computations (11.1% saved)
| 465.0ms | 8 256× | 0 | valid |
ival-mult: 205.0ms (79.3% of total)ival-add: 40.0ms (15.5% of total)ival-true: 6.0ms (2.3% of total)exact: 4.0ms (1.5% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 0 | - | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) | n*o | 20 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 20 | 0 |
| - | 0 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 20 | 0 | 0 |
| - | 0 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 119.0ms | 512× | 0 | valid |
Compiled 83 to 37 computations (55.4% saved)
ival-mult: 7.0ms (67.9% of total)ival-add: 2.0ms (19.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 65 | 37 |
| 2 | 194 | 35 |
| 3 | 463 | 35 |
| 4 | 639 | 35 |
| 5 | 762 | 35 |
| 6 | 789 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 19 | 7 |
| 2 | 27 | 7 |
| 3 | 49 | 7 |
| 4 | 49 | 7 |
| 0 | 49 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(abs y)
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 19 | 18 |
| 2 | 27 | 18 |
| 3 | 49 | 18 |
| 4 | 49 | 18 |
| 0 | 49 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 y y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 4.757477171528833 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 218.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 3.0ms (62.5% of total)ival-add: 1.0ms (20.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | -inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 0.0ms | y | @ | -inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 41 |
| 1 | 42 | 41 |
| 2 | 74 | 41 |
| 3 | 212 | 41 |
| 4 | 703 | 41 |
| 5 | 1926 | 41 |
| 6 | 2605 | 41 |
| 7 | 3693 | 41 |
| 8 | 5036 | 41 |
| 9 | 5934 | 41 |
| 10 | 6893 | 41 |
| 11 | 7236 | 41 |
| 12 | 7351 | 41 |
| 13 | 7428 | 41 |
| 14 | 7497 | 41 |
| 15 | 7644 | 41 |
| 0 | 8185 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 209 | 15 |
| 3 | 1404 | 15 |
| 0 | 8269 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y y)) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x))) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64) x) |
(fma.f64 x (*.f64 y y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y y))) |
(fma.f64 (*.f64 y y) x x) |
(fma.f64 y (*.f64 x y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 y y)) x))) |
(-.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(+.f64 (*.f64 x (*.f64 y y)) x) |
(+.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 9 367 to 1 122 computations (88% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 7 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 367 | 7 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.6% | (fma.f64 (*.f64 y y) x x) |
| ▶ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| 92.5% | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| ▶ | 92.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
| 67.0% | (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) | |
| ▶ | 51.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| ▶ | 45.1% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
Compiled 130 to 98 computations (24.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 94 |
| 0 | 29 | 87 |
| 1 | 54 | 87 |
| 2 | 69 | 87 |
| 3 | 109 | 87 |
| 4 | 123 | 87 |
| 5 | 144 | 87 |
| 6 | 144 | 87 |
| 0 | 144 | 87 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
x |
y |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
x |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(fma.f64 (*.f64 y y) x x) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
x |
(fma.f64 y y #s(literal 1 binary64)) |
y |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) |
x |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(fma.f64 (*.f64 y y) x x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(fma.f64 y y #s(literal 1 binary64)) |
y |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) | |
| accuracy | 0.20148896059470103 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) | |
| accuracy | 4.757477171528833 | (*.f64 x (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 4.753570921528833 | (fma.f64 (*.f64 y y) x x) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 9.966360166580571 | (*.f64 (*.f64 y y) x) | |
| accuracy | 30.37799656582689 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) | |
| accuracy | 4.757477171528833 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| accuracy | 31.54171725324044 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 x y) y x) |
| 170.0ms | 256× | 0 | valid |
Compiled 186 to 36 computations (80.6% saved)
ival-div: 113.0ms (86.1% of total)ival-add: 9.0ms (6.9% of total)ival-mult: 9.0ms (6.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(fma.f64 (*.f64 y y) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x (pow y 2)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
x |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(pow y 2) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1)) |
| 2.0ms | x | @ | -inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1)) |
| 1.0ms | x | @ | 0 | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1)) |
| 1.0ms | y | @ | inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1)) |
| 1.0ms | y | @ | -inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 192 |
| 1 | 130 | 190 |
| 2 | 327 | 186 |
| 3 | 1128 | 176 |
| 4 | 4578 | 166 |
| 0 | 8371 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x (pow y 2)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
x |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(pow y 2) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y x) y) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(/ 1 (* x (pow y 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 y y #s(literal -1 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 80 |
| 0 | 29 | 73 |
| 1 | 115 | 73 |
| 2 | 610 | 73 |
| 3 | 5516 | 73 |
| 0 | 8065 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(fma.f64 (*.f64 y y) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) x) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) x) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) |
(*.f64 (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (pow.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (/.f64 (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 y y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 y y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
Compiled 11 862 to 1 639 computations (86.2% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 4 | 545 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 543 | 9 | 552 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.2% | (fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
| ✓ | 92.6% | (fma.f64 (*.f64 y y) x x) |
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 92.4% | (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | 92.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
| ▶ | 45.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
| ✓ | 51.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| ✓ | 45.1% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
| ▶ | 52.4% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
Compiled 114 to 74 computations (35.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 640 | (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) | |
| cost-diff | 640 | (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 1216 | (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) | |
| cost-diff | 0 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) y) | |
| cost-diff | 0 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 186 |
| 0 | 50 | 185 |
| 1 | 117 | 169 |
| 2 | 334 | 157 |
| 3 | 1752 | 155 |
| 4 | 4757 | 153 |
| 0 | 8963 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
x |
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y x) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y x) |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
x |
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (*.f64 y x) y x) |
(neg.f64 (fma.f64 y y #s(literal 1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 x x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.753570921528833 | (*.f64 x (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 9.966360166580571 | (*.f64 (*.f64 y y) x) | |
| accuracy | 16.932803421705362 | (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) | |
| accuracy | 25.683423914247857 | (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) | |
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (neg.f64 (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 4.839508421528833 | (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.15625 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) | |
| accuracy | 0.29725974691100787 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 9.621180761198799 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) | |
| accuracy | 30.371547880899357 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 y x) y) | |
| accuracy | 30.37799656582689 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
| 68.0ms | 256× | 0 | valid |
Compiled 367 to 60 computations (83.7% saved)
ival-mult: 14.0ms (42.3% of total)ival-div: 11.0ms (33.3% of total)ival-add: 5.0ms (15.1% of total)ival-neg: 2.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ -1 x) |
(/ (pow y 2) (- (pow y 2) 1)) |
(/ x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
x |
(+ x (* x (pow y 2))) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(/ 1 (pow y 2)) |
-1 |
(- (* -1 (pow y 2)) 1) |
1 |
(+ 1 (pow y 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (pow y 2)) 1)) |
(* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x (pow y 2)))) |
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))) |
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))) |
(pow y 2) |
(+ (* -1 x) (* x (pow y 2))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(+ 1 (/ 1 (pow y 2))) |
(+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) |
(+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) |
(/ x (pow y 2)) |
(/ (+ x (/ x (pow y 2))) (pow y 2)) |
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | x | @ | inf | ((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ 1 (* y y)) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ (* (* y y) x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) x) (* y y) (* x (+ (* y y) -1))) |
| 4.0ms | x | @ | 0 | ((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ 1 (* y y)) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ (* (* y y) x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) x) (* y y) (* x (+ (* y y) -1))) |
| 3.0ms | x | @ | -inf | ((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ 1 (* y y)) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ (* (* y y) x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) x) (* y y) (* x (+ (* y y) -1))) |
| 2.0ms | y | @ | inf | ((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ 1 (* y y)) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ (* (* y y) x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) x) (* y y) (* x (+ (* y y) -1))) |
| 2.0ms | y | @ | 0 | ((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ 1 (* y y)) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ (* (* y y) x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) x) (* y y) (* x (+ (* y y) -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 438 |
| 1 | 234 | 433 |
| 2 | 639 | 412 |
| 3 | 2531 | 393 |
| 4 | 7212 | 392 |
| 0 | 8358 | 373 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ -1 x) |
(/ (pow y 2) (- (pow y 2) 1)) |
(/ x (- (pow y 2) 1)) |
(* x (- (pow y 2) 1)) |
x |
(+ x (* x (pow y 2))) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(/ 1 (pow y 2)) |
-1 |
(- (* -1 (pow y 2)) 1) |
1 |
(+ 1 (pow y 2)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (pow y 2)) 1)) |
(* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x (pow y 2)))) |
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))) |
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))) |
(pow y 2) |
(+ (* -1 x) (* x (pow y 2))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(+ 1 (/ 1 (pow y 2))) |
(+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) |
(+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) |
(/ x (pow y 2)) |
(/ (+ x (/ x (pow y 2))) (pow y 2)) |
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2)) |
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (pow y 2) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) |
(/ x (- (pow y 2) 1)) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(* x (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y y #s(literal -1 binary64))) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y y #s(literal -1 binary64)))) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (pow y 2)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (pow y 2)) 1)) |
(neg.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) |
(* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1)) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x (pow y 2)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x) |
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) |
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(pow y 2) |
(*.f64 y y) |
(+ (* -1 x) (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x))) (*.f64 y y)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (/ 1 (pow y 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (/ x (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) x) y) y) |
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2)) |
(+.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) x) y) y) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) |
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) x) y) y) x) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 124 |
| 0 | 45 | 123 |
| 1 | 179 | 104 |
| 2 | 1088 | 104 |
| 0 | 8525 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) y) |
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 y x)) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 (*.f64 y y) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y x) (*.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 y x) (neg.f64 (neg.f64 y))) |
(*.f64 (*.f64 y x) y) |
(*.f64 y (neg.f64 (*.f64 (neg.f64 y) x))) |
(*.f64 y (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 y y)) |
(pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(/.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(/.f64 x (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 (neg.f64 y) x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (*.f64 y (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 x y) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 x x) y) x) |
(/.f64 (*.f64 y (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (*.f64 y (*.f64 x x)) x) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 y (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 x (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(*.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(/.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(*.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(pow.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64)) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(/.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) x) y)) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 y y) x)) x) |
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x)) x) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
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(fma.f64 (neg.f64 (*.f64 (neg.f64 y) x)) y (neg.f64 x)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (*.f64 y x) (neg.f64 x)) |
(fma.f64 (fma.f64 y x x) y (*.f64 (fma.f64 y x x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 y #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 y) (neg.f64 x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) (neg.f64 x)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 y y) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) y) (neg.f64 x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 x) (neg.f64 x)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) x) (neg.f64 x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (neg.f64 x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 y y) x (neg.f64 x)) |
(fma.f64 (*.f64 y x) (*.f64 (/.f64 y x) x) (neg.f64 x)) |
(fma.f64 (*.f64 y x) (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(fma.f64 (*.f64 y x) y (neg.f64 x)) |
(fma.f64 y (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 x)) |
(fma.f64 y (fma.f64 y x x) (*.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(fma.f64 y (*.f64 y x) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 x (*.f64 y y) (neg.f64 x)) |
(-.f64 (fma.f64 (*.f64 y y) x #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) y x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y x) y x))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (*.f64 y y) x)) |
(-.f64 (*.f64 (*.f64 y y) x) x) |
(+.f64 (*.f64 y (fma.f64 y x x)) (*.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(+.f64 (*.f64 (fma.f64 y x x) y) (*.f64 (fma.f64 y x x) #s(literal -1 binary64))) |
(+.f64 (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(+.f64 (*.f64 (*.f64 y y) x) (neg.f64 x)) |
Compiled 40 568 to 4 595 computations (88.7% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 505 | 9 | 1 514 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 1 | 4 | 5 |
| Total | 1 509 | 14 | 1 523 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.6% | (fma.f64 (*.f64 y y) x x) |
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| 88.2% | (/.f64 (fma.f64 (*.f64 (neg.f64 y) x) (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 52.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) |
| 52.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 y)))) | |
| ▶ | 45.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) |
| ▶ | 99.7% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) |
| ✓ | 51.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| 47.0% | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (neg.f64 x))) | |
| ▶ | 45.1% | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) |
| 52.4% | #s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) | |
| ✓ | 45.1% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
| ✓ | 52.4% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
| ▶ | 38.5% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) |
Compiled 347 to 248 computations (28.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) | |
| cost-diff | 896 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 1216 | (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 x (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) | |
| cost-diff | 1024 | (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) | |
| cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 219 |
| 0 | 51 | 218 |
| 1 | 95 | 212 |
| 2 | 170 | 212 |
| 3 | 426 | 192 |
| 4 | 1024 | 192 |
| 5 | 2860 | 192 |
| 6 | 4673 | 192 |
| 7 | 5989 | 192 |
| 8 | 6521 | 192 |
| 9 | 6682 | 192 |
| 10 | 6779 | 192 |
| 11 | 6867 | 192 |
| 0 | 8007 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
y |
x |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) |
(*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x)) |
(*.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
(/.f64 y x) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) |
(fma.f64 (*.f64 x y) y x) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) y x)) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 (*.f64 x y) y x) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 y x)) |
(*.f64 (*.f64 x y) x) |
x |
(*.f64 y x) |
(*.f64 x y) |
y |
(/.f64 y x) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) | |
| accuracy | 0.15625 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) | |
| accuracy | 0.19140625 | (/.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| accuracy | 30.371547880899357 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y))) | |
| accuracy | 0.15625 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) | |
| accuracy | 0.263988960594701 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) | |
| accuracy | 9.966360166580571 | (*.f64 (*.f64 y y) x) | |
| accuracy | 30.371547880899357 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 9.989797666580571 | (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 30.37799656582689 | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.14453125 | (*.f64 x (*.f64 y x)) | |
| accuracy | 17.317647387390647 | (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x)) | |
| accuracy | 30.37799656582689 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 0.15625 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) | |
| accuracy | 0.20148896059470103 | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) |
| 79.0ms | 256× | 0 | valid |
Compiled 390 to 62 computations (84.1% saved)
ival-mult: 32.0ms (55.9% of total)ival-div: 20.0ms (35% of total)ival-add: 4.0ms (7% of total)ival-neg: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
(*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) |
(*.f64 x (*.f64 y x)) |
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(* x y) |
(* x (pow y 2)) |
(* (pow x 2) y) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ -1 (* x y)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ 1 (* x (- (* -1 (pow y 2)) 1))) |
x |
(+ x (* x (pow y 2))) |
(/ -1 x) |
(- (/ (pow y 2) x) (/ 1 x)) |
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(* -1 (pow y 2)) |
(* -1 y) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2)) |
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (* x (* y x)) (/ y x)) (* x (+ 1 (* y y))) (* x (* y x)) (/ (* (neg y) y) (/ -1 x)) (* x (+ 1 (* y y))) (* (neg y) y) (neg y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ 1 (* (* y y) x)) (* (* y y) x) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y)) |
| 5.0ms | y | @ | -inf | ((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (* x (* y x)) (/ y x)) (* x (+ 1 (* y y))) (* x (* y x)) (/ (* (neg y) y) (/ -1 x)) (* x (+ 1 (* y y))) (* (neg y) y) (neg y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ 1 (* (* y y) x)) (* (* y y) x) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y)) |
| 3.0ms | x | @ | -inf | ((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (* x (* y x)) (/ y x)) (* x (+ 1 (* y y))) (* x (* y x)) (/ (* (neg y) y) (/ -1 x)) (* x (+ 1 (* y y))) (* (neg y) y) (neg y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ 1 (* (* y y) x)) (* (* y y) x) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y)) |
| 2.0ms | x | @ | inf | ((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (* x (* y x)) (/ y x)) (* x (+ 1 (* y y))) (* x (* y x)) (/ (* (neg y) y) (/ -1 x)) (* x (+ 1 (* y y))) (* (neg y) y) (neg y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ 1 (* (* y y) x)) (* (* y y) x) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y)) |
| 2.0ms | x | @ | 0 | ((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (* x (* y x)) (/ y x)) (* x (+ 1 (* y y))) (* x (* y x)) (/ (* (neg y) y) (/ -1 x)) (* x (+ 1 (* y y))) (* (neg y) y) (neg y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ 1 (* (* y y) x)) (* (* y y) x) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 343 |
| 1 | 162 | 340 |
| 2 | 414 | 332 |
| 3 | 1178 | 312 |
| 4 | 3864 | 306 |
| 0 | 8008 | 289 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (pow y 2))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(* x y) |
(* x (pow y 2)) |
(* (pow x 2) y) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ -1 (* x y)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ 1 (* x (- (* -1 (pow y 2)) 1))) |
x |
(+ x (* x (pow y 2))) |
(/ -1 x) |
(- (/ (pow y 2) x) (/ 1 x)) |
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(* -1 (pow y 2)) |
(* -1 y) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2)) |
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x y) |
(*.f64 x y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* (pow x 2) y) |
(*.f64 (*.f64 x x) y) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (/ (pow y 2) x) (/ 1 x)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 y x) (/.f64 #s(literal -1 binary64) x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 y) |
(neg.f64 y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 x))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 (* x (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 y y)) |
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))) (*.f64 y y)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 y y)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 187 |
| 0 | 51 | 183 |
| 1 | 201 | 156 |
| 2 | 1110 | 152 |
| 0 | 8621 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
(*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) |
(*.f64 x (*.f64 y x)) |
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (*.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y #s(literal -1 binary64))) x) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
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(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64))) |
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(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 x y)) |
(neg.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
Compiled 14 508 to 2 051 computations (85.9% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 717 | 4 | 721 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 723 | 12 | 735 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.6% | (fma.f64 (*.f64 y y) x x) |
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| 88.2% | (/.f64 (fma.f64 (*.f64 (neg.f64 y) x) (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) | |
| 52.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) #s(approx (/ 1 (* (* y y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))) | |
| ✓ | 51.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| 47.0% | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (neg.f64 x))) | |
| 52.3% | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) | |
| 52.4% | #s(approx (* x (+ 1 (* y y))) (/.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) | |
| 32.6% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 (/.f64 y x) y) (*.f64 x x))) | |
| ✓ | 45.1% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
| ✓ | 52.4% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
| ✓ | 38.5% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) |
Compiled 540 to 217 computations (59.8% saved)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 y y) x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x (*.f64 y x)) (/.f64 y x))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 (/.f64 y x) y) (*.f64 x x))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) #s(approx (/ 1 (* (* y y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
5 calls:
| 26.0ms | x |
| 17.0ms | (*.f64 y y) |
| 7.0ms | y |
| 7.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 6.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 99.9% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
| Outputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
5 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 2 | x |
| 98.7% | 2 | y |
| 79.4% | 2 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 98.7% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 98.7% | 2 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
5 calls:
| 1.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 1 | x |
| 51.0% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 51.0% | 1 | y |
| 51.0% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 51.0% | 1 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0981670922575918e-15 | 2.9851670981148954 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 43 |
| 1 | 23 | 43 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/633825300114114700748351602688 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 y x) y x) |
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/633825300114114700748351602688 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))) |
(if (<=.f64 (*.f64 y y) #s(literal 2535301200456459/633825300114114700748351602688 binary64)) (*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 80 |
| 0 | 29 | 73 |
| 1 | 115 | 73 |
| 2 | 610 | 73 |
| 3 | 5516 | 73 |
| 0 | 8065 | 73 |
| 0 | 15 | 41 |
| 1 | 42 | 41 |
| 2 | 74 | 41 |
| 3 | 212 | 41 |
| 4 | 703 | 41 |
| 5 | 1926 | 41 |
| 6 | 2605 | 41 |
| 7 | 3693 | 41 |
| 8 | 5036 | 41 |
| 9 | 5934 | 41 |
| 10 | 6893 | 41 |
| 11 | 7236 | 41 |
| 12 | 7351 | 41 |
| 13 | 7428 | 41 |
| 14 | 7497 | 41 |
| 15 | 7644 | 41 |
| 0 | 8185 | 36 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 209 | 15 |
| 3 | 1404 | 15 |
| 0 | 8269 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 80 to 46 computations (42.5% saved)
(negabs x)
(abs y)
Compiled 186 to 104 computations (44.1% saved)
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