
Time bar (total: 6.1s)
| 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)
| 757.0ms | 8 256× | 0 | valid |
ival-mult: 403.0ms (80.6% of total)ival-add: 83.0ms (16.6% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 15 | 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 | 15 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 15 | 0 |
| - | 0 | 241 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 15 | 0 | 0 |
| - | 0 | 0 | 241 |
| number | freq |
|---|---|
| 0 | 241 |
| 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-mult: 7.0ms (67.8% 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 |
|---|---|---|
| ▶ | 94.4% | (*.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 | 3.595743785964665 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 14.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 6.0ms (74% of total)ival-add: 1.0ms (12.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #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))) |
(*.f64 (/.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)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.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 |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| 45.3% | (/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y y)) x)) | |
| ▶ | 94.4% | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
| ▶ | 94.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
| 68.6% | (*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) | |
| ▶ | 55.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| ▶ | 42.6% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
Compiled 154 to 110 computations (28.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 6848 | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| 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 | (*.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 | 20 | 105 |
| 0 | 32 | 96 |
| 1 | 58 | 96 |
| 2 | 75 | 96 |
| 3 | 118 | 96 |
| 4 | 135 | 96 |
| 5 | 149 | 96 |
| 6 | 149 | 96 |
| 0 | 149 | 96 |
| 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 |
(/.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 |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
x |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
| 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 |
(/.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 |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.1337470477576312 | (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 3.463888989575037 | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.1796875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) | |
| accuracy | 0.2179572859859618 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) | |
| accuracy | 3.595743785964665 | (*.f64 x (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 6.494170993919216 | (*.f64 (*.f64 y y) x) | |
| accuracy | 33.172147122590744 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) | |
| accuracy | 3.595743785964665 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| accuracy | 28.953921817089267 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 x y) y x) |
| 40.0ms | 256× | 0 | valid |
Compiled 210 to 40 computations (81% saved)
ival-mult: 9.0ms (40.2% of total)ival-add: 5.0ms (22.3% of total)ival-div: 4.0ms (17.9% of total)ival-pow: 3.0ms (13.4% 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) |
(/.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)) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #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)) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(* (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)) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (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) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -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) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1)) |
| 2.0ms | x | @ | 0 | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -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) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -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) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 283 |
| 1 | 178 | 279 |
| 2 | 453 | 271 |
| 3 | 1509 | 255 |
| 4 | 3765 | 247 |
| 0 | 8310 | 234 |
| 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)) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(* (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)) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (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 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 (- (* -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 y y #s(literal -1 binary64)) (neg.f64 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y 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 y y #s(literal -1 binary64)) (neg.f64 x))) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(* (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) x) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.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 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 88 |
| 0 | 32 | 79 |
| 1 | 121 | 79 |
| 2 | 676 | 79 |
| 3 | 6862 | 79 |
| 0 | 9507 | 79 |
| 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) |
(/.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)) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #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) (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 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 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 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 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 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 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 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 (pow.f64 y #s(literal 6 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 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 (/.f64 x #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x)) #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 (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))) |
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(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 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)) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y y) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 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 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 y y))))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 y y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log1p.f64 (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
Compiled 17 460 to 2 366 computations (86.4% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 825 | 7 | 832 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 829 | 10 | 839 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 94.4% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
| ▶ | 42.5% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) |
| ▶ | 42.5% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| 94.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))) | |
| ▶ | 42.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
| 67.0% | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) | |
| ✓ | 55.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| ✓ | 42.6% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
| ▶ | 48.1% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
Compiled 242 to 177 computations (26.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) | |
| cost-diff | 0 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) | |
| 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 y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) | |
| 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)) | |
| cost-diff | -5760 | (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 6848 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 209 |
| 0 | 44 | 208 |
| 1 | 73 | 206 |
| 2 | 102 | 206 |
| 3 | 197 | 206 |
| 4 | 297 | 206 |
| 5 | 470 | 206 |
| 6 | 642 | 206 |
| 7 | 838 | 206 |
| 8 | 1243 | 206 |
| 9 | 2141 | 206 |
| 10 | 2922 | 206 |
| 11 | 4109 | 206 |
| 12 | 4996 | 206 |
| 13 | 5443 | 206 |
| 14 | 5753 | 206 |
| 15 | 5890 | 206 |
| 16 | 5926 | 206 |
| 17 | 6616 | 206 |
| 18 | 7812 | 206 |
| 0 | 8046 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
x |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.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 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
x |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.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 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) | |
| accuracy | 0.2040595477576312 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 3.463888989575037 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) | |
| accuracy | 34.19225113027647 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) | |
| accuracy | 0.1796875 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) | |
| accuracy | 0.2040595477576312 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 6.159461105646507 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) | |
| accuracy | 33.17436557767392 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.2040595477576312 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 3.463888989575037 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) | |
| accuracy | 33.30973877622982 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 y x) y) | |
| accuracy | 33.172147122590744 | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) | |
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.1337470477576312 | (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 3.463888989575037 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
| 84.0ms | 256× | 0 | valid |
Compiled 377 to 54 computations (85.7% saved)
ival-div: 13.0ms (39.6% of total)ival-mult: 10.0ms (30.5% of total)ival-pow: 5.0ms (15.2% of total)ival-add: 2.0ms (6.1% of total)ival-sub: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.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 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) |
| Outputs |
|---|
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (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)) |
(/ -1 (pow y 4)) |
(/ (- (pow y 2) 1) (pow y 4)) |
(/ -1 (pow y 3)) |
(/ (- (pow y 2) 1) (pow y 3)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (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 y) |
(/ (- 1 (/ 1 (pow y 2))) y) |
(* -1 (/ (- (/ 1 (pow y 2)) 1) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ x (/ 1 (+ (* y y) 1))) (+ (* y y) 1) (/ 1 (+ (* y y) 1)) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y)) |
| 2.0ms | y | @ | -inf | ((/ x (/ 1 (+ (* y y) 1))) (+ (* y y) 1) (/ 1 (+ (* y y) 1)) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y)) |
| 2.0ms | y | @ | inf | ((/ x (/ 1 (+ (* y y) 1))) (+ (* y y) 1) (/ 1 (+ (* y y) 1)) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y)) |
| 2.0ms | y | @ | 0 | ((/ x (/ 1 (+ (* y y) 1))) (+ (* y y) 1) (/ 1 (+ (* y y) 1)) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y)) |
| 1.0ms | x | @ | 0 | ((/ x (/ 1 (+ (* y y) 1))) (+ (* y y) 1) (/ 1 (+ (* y y) 1)) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ 1 (* y y)) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 323 |
| 1 | 195 | 319 |
| 2 | 480 | 311 |
| 3 | 1655 | 291 |
| 4 | 4076 | 283 |
| 0 | 8202 | 264 |
| 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))) |
x |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (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)) |
(/ -1 (pow y 4)) |
(/ (- (pow y 2) 1) (pow y 4)) |
(/ -1 (pow y 3)) |
(/ (- (pow y 2) 1) (pow y 3)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (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 y) |
(/ (- 1 (/ 1 (pow y 2))) y) |
(* -1 (/ (- (/ 1 (pow y 2)) 1) y)) |
| 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)) |
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)) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) 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 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(/ -1 (pow y 4)) |
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) |
(/ (- (pow y 2) 1) (pow y 4)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(/ -1 (pow y 3)) |
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(/ (- (pow y 2) 1) (pow y 3)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (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 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.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 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) x) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (pow y 2))) y) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (/ (- (/ 1 (pow y 2)) 1) y)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 172 |
| 0 | 44 | 171 |
| 1 | 171 | 149 |
| 2 | 1057 | 143 |
| 0 | 8993 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.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 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) 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 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 (-.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) (+.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 (pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
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(*.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)))) |
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(/.f64 (*.f64 (pow.f64 y #s(literal -1 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))) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) (neg.f64 (pow.f64 y #s(literal -3 binary64))))) (-.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))))) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.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))) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) y)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))) y)) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 y #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 y (*.f64 y (pow.f64 y #s(literal -2 binary64))))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 y (*.f64 (neg.f64 y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 y (pow.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y (neg.f64 (pow.f64 y #s(literal -2 binary64))))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) y) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))) y) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -6 binary64))) (+.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -3 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 y #s(literal -4 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -4 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -4 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) y y))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -6 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))) y))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -6 binary64))) (neg.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) y y))) |
(/.f64 (-.f64 y (*.f64 y (pow.f64 y #s(literal -2 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))) (fma.f64 (+.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))) y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -3 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 y #s(literal -4 binary64)))) (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 y (*.f64 y (pow.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y)) |
(fma.f64 (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -3 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -3 binary64)))) (/.f64 (pow.f64 y #s(literal -6 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -3 binary64))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 y #s(literal -4 binary64))))) (/.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -6 binary64)) (pow.f64 y #s(literal -4 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal -2 binary64)) y y)) (/.f64 (pow.f64 y #s(literal -4 binary64)) (fma.f64 (pow.f64 y #s(literal -2 binary64)) y y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) y y)) (/.f64 (pow.f64 y #s(literal -6 binary64)) (fma.f64 (+.f64 (pow.f64 y #s(literal -4 binary64)) (pow.f64 y #s(literal -2 binary64))) y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 y #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) y)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 y #s(literal -6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64)))) y)) |
(-.f64 (*.f64 y (pow.f64 y #s(literal -2 binary64))) (/.f64 (*.f64 y (pow.f64 y #s(literal -2 binary64))) (*.f64 y y))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -3 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (pow.f64 y #s(literal -1 binary64))) |
(+.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -3 binary64)))) |
Compiled 23 376 to 3 737 computations (84% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 106 | 5 | 1 111 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 108 | 13 | 1 121 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ✓ | 94.4% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
| ▶ | 42.7% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) |
| ✓ | 42.5% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| ▶ | 48.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)))) |
| ✓ | 42.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) |
| ▶ | 48.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))))) |
| ▶ | 67.0% | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
| ✓ | 55.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| 48.0% | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64)))) | |
| ▶ | 48.0% | #s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) |
| ✓ | 42.6% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
| ✓ | 48.1% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
Compiled 299 to 219 computations (26.8% 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 | 512 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))))) | |
| cost-diff | 128 | (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y) | |
| cost-diff | 0 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y) | |
| cost-diff | 0 | #s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) | |
| cost-diff | 1216 | (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 275 |
| 0 | 62 | 278 |
| 1 | 116 | 278 |
| 2 | 222 | 260 |
| 3 | 517 | 260 |
| 4 | 1554 | 260 |
| 5 | 3431 | 260 |
| 6 | 5268 | 260 |
| 7 | 6235 | 260 |
| 8 | 6552 | 260 |
| 9 | 6662 | 260 |
| 10 | 6689 | 260 |
| 11 | 6720 | 260 |
| 12 | 6732 | 260 |
| 0 | 8138 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y)) |
(/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 (*.f64 y x)) |
(*.f64 y x) |
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 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) x) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#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 x y) y)) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y) |
(*.f64 (*.f64 x y) y) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 x y) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y)) |
(/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.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(literal 1 binary64) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 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) y) (neg.f64 (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 (*.f64 y x)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y x) |
(*.f64 x 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 (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.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 | 0.16015625 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) | |
| accuracy | 0.1796875 | (/.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 | 0.27734375 | (/.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| accuracy | 33.17436557767392 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y))) | |
| accuracy | 0 | (neg.f64 (*.f64 y x)) | |
| accuracy | 0.1796875 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))))) | |
| accuracy | 0.18359375 | (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))) | |
| accuracy | 33.17436557767392 | #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x)))) | |
| accuracy | 0.1328125 | (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y) | |
| accuracy | 3.463888989575037 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) | |
| accuracy | 34.19225113027647 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y)) | |
| accuracy | 34.675050665647916 | #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y) | |
| accuracy | 0.2421875 | (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 33.172147122590744 | #s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) | |
| accuracy | 0 | (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 4.192308947367583 | (/.f64 x (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 14.78876591052143 | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
| 437.0ms | 256× | 0 | valid |
Compiled 470 to 80 computations (83% saved)
ival-pow: 190.0ms (46.6% of total)ival-mult: 187.0ms (45.9% of total)ival-div: 21.0ms (5.2% of total)ival-add: 3.0ms (0.7% of total)ival-neg: 3.0ms (0.7% of total)ival-sub: 2.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y) |
(neg.f64 x) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y)) |
(/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x)))) |
(/.f64 #s(literal -1 binary64) y) |
(/.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) |
(neg.f64 (*.f64 y x)) |
| Outputs |
|---|
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ x (- (pow y 2) 1)) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* -1 x) |
(/ 1 (* x (pow y 2))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x y)) |
(* -1 (* x y)) |
x |
(+ x (* x (pow y 2))) |
-1 |
(- (pow y 4) 1) |
(pow y 4) |
(+ (* -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))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(/ -1 (pow y 4)) |
(/ (- (pow y 2) 1) (pow y 4)) |
(/ -1 (pow y 3)) |
(/ (- (pow y 2) 1) (pow y 3)) |
(/ 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 y) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(/ 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)) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/ 1 y) |
(/ (- 1 (/ 1 (pow y 2))) y) |
(/ (- (/ 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 (/ (- (/ 1 (pow y 2)) 1) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((* (- (pow y 4) 1) (/ x (+ (* y y) -1))) (- (pow y 4) 1) (pow y 4) (/ x (+ (* y y) -1)) (/ (neg x) (/ -1 y)) (* x (+ 1 (* y y))) (* (/ (neg x) (/ -1 y)) y) (neg x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y) (/ (/ -1 y) (neg (* y x))) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ -1 y) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y) (neg (* y x))) |
| 4.0ms | y | @ | inf | ((* (- (pow y 4) 1) (/ x (+ (* y y) -1))) (- (pow y 4) 1) (pow y 4) (/ x (+ (* y y) -1)) (/ (neg x) (/ -1 y)) (* x (+ 1 (* y y))) (* (/ (neg x) (/ -1 y)) y) (neg x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y) (/ (/ -1 y) (neg (* y x))) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ -1 y) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y) (neg (* y x))) |
| 3.0ms | x | @ | -inf | ((* (- (pow y 4) 1) (/ x (+ (* y y) -1))) (- (pow y 4) 1) (pow y 4) (/ x (+ (* y y) -1)) (/ (neg x) (/ -1 y)) (* x (+ 1 (* y y))) (* (/ (neg x) (/ -1 y)) y) (neg x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y) (/ (/ -1 y) (neg (* y x))) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ -1 y) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y) (neg (* y x))) |
| 3.0ms | x | @ | inf | ((* (- (pow y 4) 1) (/ x (+ (* y y) -1))) (- (pow y 4) 1) (pow y 4) (/ x (+ (* y y) -1)) (/ (neg x) (/ -1 y)) (* x (+ 1 (* y y))) (* (/ (neg x) (/ -1 y)) y) (neg x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y) (/ (/ -1 y) (neg (* y x))) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ -1 y) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y) (neg (* y x))) |
| 3.0ms | y | @ | 0 | ((* (- (pow y 4) 1) (/ x (+ (* y y) -1))) (- (pow y 4) 1) (pow y 4) (/ x (+ (* y y) -1)) (/ (neg x) (/ -1 y)) (* x (+ 1 (* y y))) (* (/ (neg x) (/ -1 y)) y) (neg x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ (/ (- 1 (/ 1 (* y y))) y) y) (/ (- 1 (/ 1 (* y y))) y) (/ (/ -1 y) (neg (* y x))) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ -1 y) (/ (/ (/ -1 x) y) (neg y)) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (/ (/ -1 x) y) (neg (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 460 |
| 1 | 272 | 453 |
| 2 | 705 | 441 |
| 3 | 2622 | 416 |
| 4 | 6524 | 415 |
| 0 | 8474 | 394 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ x (- (pow y 2) 1)) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* -1 x) |
(/ 1 (* x (pow y 2))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x y)) |
(* -1 (* x y)) |
x |
(+ x (* x (pow y 2))) |
-1 |
(- (pow y 4) 1) |
(pow y 4) |
(+ (* -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))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(/ -1 (pow y 4)) |
(/ (- (pow y 2) 1) (pow y 4)) |
(/ -1 (pow y 3)) |
(/ (- (pow y 2) 1) (pow y 3)) |
(/ 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 y) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(/ 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)) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/ 1 y) |
(/ (- 1 (/ 1 (pow y 2))) y) |
(/ (- (/ 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 (/ (- (/ 1 (pow y 2)) 1) y)) |
| Outputs |
|---|
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ x (- (pow y 2) 1)) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(* x y) |
(*.f64 x y) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* -1 x) |
(neg.f64 x) |
(/ 1 (* x (pow y 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(+ (* -1 x) (* -1 (* x (pow y 2)))) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x) |
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))) |
(neg.f64 (fma.f64 x (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) x)) |
(+ (* -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)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/ -1 (pow y 4)) |
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) |
(/ (- (pow y 2) 1) (pow y 4)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(/ -1 (pow y 3)) |
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(/ (- (pow y 2) 1) (pow y 3)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/ 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 y) |
(/.f64 #s(literal -1 binary64) y) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(/ 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)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (pow y 2))) y) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y)) |
(* -1 (/ (- (/ 1 (pow y 2)) 1) y)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 238 |
| 0 | 62 | 238 |
| 1 | 269 | 198 |
| 2 | 1757 | 198 |
| 0 | 8631 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
(/.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y) |
(neg.f64 x) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y)) |
(/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x))))) |
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y x)))) |
(/.f64 #s(literal -1 binary64) y) |
(/.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) |
(neg.f64 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) x) |
(*.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))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 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 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 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))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (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 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x y) y)))) |
(*.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y (neg.f64 x)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x 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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) 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 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 12 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 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (*.f64 x (-.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 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 x (neg.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 x (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.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 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (neg.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64)))))) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64)))))) |
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(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(pow.f64 (*.f64 (*.f64 x y) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x))))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x y)) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.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 -1/2 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 (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) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) |
(*.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 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(neg.f64 (*.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))) |
(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(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(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 (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64)) |
(/.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 (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) (/.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))) |
(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) (/.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64))) |
(-.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 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.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) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(neg.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (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))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 y) x) |
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) y) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 x (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 y (neg.f64 x)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 x y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(/.f64 x (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(/.f64 y (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (*.f64 x y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y))) |
(-.f64 #s(literal 0 binary64) (*.f64 x y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
Compiled 13 666 to 1 952 computations (85.7% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 638 | 4 | 642 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 6 | 7 |
| Total | 643 | 12 | 655 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ✓ | 94.4% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
| ✓ | 42.7% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) |
| ✓ | 42.5% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| ✓ | 55.0% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| 32.9% | #s(approx (* x (+ 1 (* y y))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) y)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))) | |
| 48.0% | #s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) | |
| 48.0% | #s(approx (* x (+ 1 (* y y))) (/.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) | |
| ✓ | 48.0% | #s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)) |
| 47.9% | #s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) y)) | |
| ✓ | 42.6% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x)) |
| ✓ | 48.1% | #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)) |
Compiled 568 to 241 computations (57.6% 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) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
#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))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(approx (/ (- 1 (/ 1 (* y y))) y) (/.f64 #s(literal 1 binary64) y)) y))) |
#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) y) (neg.f64 (*.f64 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 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y))) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (+ 1 (* y y))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) y)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (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 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y y)) x)) |
#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
5 calls:
| 11.0ms | x |
| 10.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 7.0ms | y |
| 7.0ms | (*.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) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 4 | x |
| 98.1% | 2 | y |
| 81.7% | 2 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 98.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 98.1% | 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:
| 6.0ms | y |
| 1.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | x |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.0% | 1 | x |
| 55.0% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 55.0% | 1 | y |
| 55.0% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 55.0% | 1 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.08062939995087089 | 151.0675980243745 |
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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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 | 20 | 88 |
| 0 | 32 | 79 |
| 1 | 121 | 79 |
| 2 | 676 | 79 |
| 3 | 6862 | 79 |
| 0 | 9507 | 79 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 209 | 15 |
| 3 | 1404 | 15 |
| 0 | 8269 | 13 |
| 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× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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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