
Time bar (total: 4.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 1.0s | 8 256× | 0 | valid |
ival-div: 397.0ms (81% of total)ival-sub: 76.0ms (15.5% of total)exact: 8.0ms (1.6% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 512× | 0 | valid |
Compiled 53 to 34 computations (35.8% saved)
ival-div: 4.0ms (51.7% of total)ival-sub: 2.0ms (25.9% 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 | 8 | 9 |
| 1 | 18 | 9 |
| 2 | 39 | 6 |
| 3 | 63 | 6 |
| 4 | 96 | 6 |
| 5 | 104 | 6 |
| 6 | 106 | 6 |
| 0 | 5 | 3 |
| 0 | 8 | 3 |
| 1 | 13 | 3 |
| 2 | 14 | 3 |
| 0 | 14 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 14 | 7 |
| 0 | 14 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.01171875 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 8.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-div: 2.0ms (56.7% of total)ival-sub: 1.0ms (28.4% 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) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((/ 1 3) (- x (/ 1 3))) |
| 0.0ms | x | @ | -inf | ((/ 1 3) (- x (/ 1 3))) |
| 0.0ms | x | @ | 0 | ((/ 1 3) (- x (/ 1 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 11 |
| 1 | 32 | 11 |
| 2 | 75 | 11 |
| 3 | 158 | 11 |
| 4 | 412 | 11 |
| 5 | 523 | 11 |
| 6 | 576 | 11 |
| 7 | 599 | 11 |
| 8 | 601 | 11 |
| 0 | 601 | 11 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 27 | 4 |
| 2 | 129 | 4 |
| 3 | 979 | 4 |
| 0 | 8557 | 4 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
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(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/729 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 x #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) |
(+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 x #s(literal -1/3 binary64)) |
Compiled 8 075 to 763 computations (90.6% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 5 | 315 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 311 | 5 | 316 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
| ▶ | 75.3% | (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
| ▶ | 51.5% | (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 51.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 144 to 84 computations (41.7% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 64 | (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) | |
| cost-diff | 128 | (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) | |
| cost-diff | 3648 | (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) | |
| cost-diff | 128 | (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) | |
| cost-diff | 0 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 187 |
| 0 | 49 | 187 |
| 1 | 95 | 187 |
| 2 | 236 | 172 |
| 3 | 771 | 169 |
| 4 | 3541 | 167 |
| 5 | 7603 | 167 |
| 0 | 8203 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) |
#s(literal 1/9 binary64) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(-.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1/9 binary64) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) |
#s(literal 1/9 binary64) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(-.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) |
(/.f64 x (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 x (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x)) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) x) x) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) |
(*.f64 x x) |
#s(literal 1/9 binary64) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) x) x) (/.f64 (-.f64 #s(literal -1/3 binary64) x) x)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.203125 | (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.299823779305326 | (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) | |
| accuracy | 14.767599624534048 | (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) | |
| accuracy | 16.226272842733596 | (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) | |
| accuracy | 0.01171875 | (-.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 0.6032821371596411 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 14.719828200537815 | (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) | |
| accuracy | 14.888693374534048 | (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 0.015625 | (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) | |
| accuracy | 0.07421875 | (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) | |
| accuracy | 0.14453125 | (/.f64 x (-.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.6661520186475691 | (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) | |
| accuracy | 31.238700399017723 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) | |
| accuracy | 0.01171875 | (-.f64 x #s(literal 1/3 binary64)) |
| 52.0ms | 198× | 0 | valid |
| 19.0ms | 25× | 2 | valid |
| 19.0ms | 33× | 1 | valid |
Compiled 388 to 62 computations (84% saved)
const: 18.0ms (25.6% of total)ival-div: 16.0ms (22.8% of total)ival-mult: 16.0ms (22.8% of total)ival-sub: 9.0ms (12.8% of total)adjust: 5.0ms (7.1% of total)ival-add: 5.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/3 binary64) x) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) |
(/.f64 x (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
-1 |
(- (* -9 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1) |
-1/9 |
(- (pow x 2) 1/9) |
1/3 |
(+ 1/3 (* -1 x)) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
(+ 1/3 x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/9 x)) (pow x 2)) |
(/ -1/27 (pow x 2)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
(* 3 x) |
(* x (+ 3 (* -9 x))) |
(* x (+ 3 (* x (- (* 27 x) 9)))) |
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -9 x))) |
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 x) (pow x 2)) |
(/ 1/9 (pow x 2)) |
(/ (+ 1/9 (* 2/3 x)) (pow x 2)) |
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2)) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* -1 x) |
(* x (- (* 1/3 (/ 1 x)) 1)) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
1 |
(- 1 (* 1/3 (/ 1 x))) |
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) |
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) |
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(+ 1 (* 2/3 (/ 1 x))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- 1 (* 1/3 (/ 1 x))))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) |
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) |
| 4.0ms | x | @ | inf | ((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) |
| 4.0ms | x | @ | 0 | ((- x 1/3) (- x (/ 1 3)) (+ (* (/ 1/9 (+ (* x x) -1/9)) (- 1/3 x)) (* x (/ x (- x -1/3)))) (/ 1/9 (+ (* x x) -1/9)) (+ (* x x) -1/9) (- 1/3 x) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) 1/9) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ x (- x -1/3)) (* x (/ x (- x -1/3))) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 791 |
| 1 | 730 | 762 |
| 2 | 1755 | 724 |
| 3 | 5114 | 709 |
| 0 | 8455 | 670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
-1 |
(- (* -9 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1) |
-1/9 |
(- (pow x 2) 1/9) |
1/3 |
(+ 1/3 (* -1 x)) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
1/9 |
(+ 1/9 (* 1/3 x)) |
(+ 1/9 (* x (+ 1/3 x))) |
(+ 1/3 x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/9 x)) (pow x 2)) |
(/ -1/27 (pow x 2)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
(* 3 x) |
(* x (+ 3 (* -9 x))) |
(* x (+ 3 (* x (- (* 27 x) 9)))) |
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -9 x))) |
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 x) (pow x 2)) |
(/ 1/9 (pow x 2)) |
(/ (+ 1/9 (* 2/3 x)) (pow x 2)) |
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2)) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* -1 x) |
(* x (- (* 1/3 (/ 1 x)) 1)) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
1 |
(- 1 (* 1/3 (/ 1 x))) |
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) |
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) |
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(+ 1 (* 2/3 (/ 1 x))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- 1 (* 1/3 (/ 1 x))))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) |
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -9 (pow x 2)) 1) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1) |
(fma.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) (*.f64 x x) #s(literal -81 binary64)) (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
(- (pow x 2) 1/9) |
(fma.f64 x x #s(literal -1/9 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1 x)) |
(-.f64 #s(literal 1/3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -27 x))) |
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* 1/3 x)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 1/3 x))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
(+ 1/3 x) |
(+.f64 #s(literal 1/3 binary64) x) |
(/ 1/27 (pow x 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(/ (+ 1/27 (* 1/9 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) x) x) |
(/ -1/27 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1/27 binary64) x) x) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) x)) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -9 x))) |
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* x (- (* 27 x) 9)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(* (pow x 2) (+ 3 (* -9 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/ 1/3 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/ (+ 1/3 x) (pow x 2)) |
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) x) x) x) |
(/ 1/9 (pow x 2)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(/ (+ 1/9 (* 2/3 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64)) x) x) |
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) x) x) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x) |
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 x x)) |
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (*.f64 x x)) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/3 (/ 1 x)) 1)) |
(-.f64 #s(literal 1/3 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) x) |
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/3 (/ 1 x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) |
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1 binary64)) |
(- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) |
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) |
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) |
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) x x) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) x)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/27 binary64))) (*.f64 x x)) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(+ 1 (* 2/3 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- 1 (* 1/3 (/ 1 x))))) |
(-.f64 #s(literal 1/3 binary64) x) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) #s(literal 1/3 binary64)) x)) x) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)) |
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))) |
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))) |
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1/3 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) x x) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) #s(literal 1/27 binary64)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 163 |
| 0 | 49 | 163 |
| 1 | 222 | 158 |
| 2 | 2036 | 152 |
| 0 | 9430 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/3 binary64) x) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) |
(/.f64 x (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) x) |
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 x (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))) |
(/.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) |
(fma.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) x) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1/3 binary64))) |
Compiled 44 714 to 4 243 computations (90.5% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 273 | 2 | 1 275 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 275 | 5 | 1 280 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
| ▶ | 53.2% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
| ▶ | 50.5% | (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 83 to 57 computations (31.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (-.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) | |
| cost-diff | 704 | (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 161 |
| 0 | 39 | 161 |
| 1 | 71 | 161 |
| 2 | 159 | 159 |
| 3 | 407 | 159 |
| 4 | 1104 | 153 |
| 5 | 4799 | 153 |
| 0 | 8340 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
#s(literal 1/27 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) (-.f64 x #s(literal -1/3 binary64))) x) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
#s(literal 1/27 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) x) x) (/.f64 (-.f64 #s(literal -1/3 binary64) x) x)) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 0.6032821371596411 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 14.719828200537815 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) | |
| accuracy | 31.062853460733564 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 0.6618758871596411 | (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) | |
| accuracy | 14.767599624534048 | (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) | |
| accuracy | 16.226272842733596 | (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) | |
| accuracy | 30.27270068992788 | #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
| 97.0ms | 233× | 0 | valid |
| 6.0ms | 11× | 2 | valid |
| 4.0ms | 12× | 1 | valid |
Compiled 306 to 51 computations (83.3% saved)
const: 35.0ms (55.2% of total)ival-mult: 14.0ms (22.1% of total)ival-div: 8.0ms (12.6% of total)ival-sub: 3.0ms (4.7% of total)ival-add: 2.0ms (3.2% of total)adjust: 1.0ms (1.6% 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 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
(/ -1/27 (pow x 2)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
1/3 |
(+ 1/3 x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/9 x)) (pow x 2)) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 x) (pow x 2)) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (/ 1/27 (* x x)) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 2.0ms | x | @ | inf | ((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (/ 1/27 (* x x)) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 2.0ms | x | @ | 0 | ((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (/ 1/27 (* x x)) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 396 |
| 1 | 436 | 386 |
| 2 | 1091 | 370 |
| 3 | 3239 | 354 |
| 0 | 8096 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(/ -1/27 (pow x 2)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
1/3 |
(+ 1/3 x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/9 x)) (pow x 2)) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 x) (pow x 2)) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
(/ -1/27 (pow x 2)) |
(/.f64 #s(literal -1/27 binary64) (*.f64 x x)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) x)) x) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(+.f64 #s(literal 1/3 binary64) x) |
(/ 1/27 (pow x 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(/ (+ 1/27 (* 1/9 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -27 x))) |
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(/ 1/3 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/ (+ 1/3 x) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 130 |
| 0 | 39 | 130 |
| 1 | 154 | 128 |
| 2 | 1213 | 126 |
| 0 | 8300 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (-.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (-.f64 x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (fma.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (+.f64 #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
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(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (neg.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 x (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) (/.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) x)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 27 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/27 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) x))) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 27 binary64)))) |
(/.f64 (/.f64 #s(literal 1/27 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 27 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 27 binary64))) |
(/.f64 #s(literal -1/27 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(neg.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 27 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) #s(literal -27 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(pow.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) #s(literal -27 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) #s(literal -27 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64))) |
Compiled 34 177 to 2 383 computations (93% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 712 | 2 | 714 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 3 | 3 |
| Total | 714 | 5 | 719 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
| ▶ | 53.1% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ▶ | 24.9% | (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 85 to 57 computations (32.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/27 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) | |
| cost-diff | 320 | (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) | |
| cost-diff | 384 | (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 156 |
| 0 | 40 | 156 |
| 1 | 73 | 156 |
| 2 | 157 | 156 |
| 3 | 388 | 156 |
| 4 | 1115 | 152 |
| 5 | 3362 | 148 |
| 6 | 6706 | 148 |
| 0 | 8250 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/27 binary64) (*.f64 x x)) |
#s(literal -1/27 binary64) |
(*.f64 x x) |
x |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) |
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/27 binary64) (*.f64 x x)) |
#s(literal -1/27 binary64) |
(*.f64 x x) |
x |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 (-.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) x) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(literal -1/27 binary64) |
(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6032821371596411 | (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) | |
| accuracy | 14.719828200537815 | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) | |
| accuracy | 31.062853460733564 | #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 31.121277488502198 | #s(approx (- x -1/3) #s(literal 1/3 binary64)) | |
| accuracy | 0.6618758871596411 | (/.f64 #s(literal -1/27 binary64) (*.f64 x x)) | |
| accuracy | 14.767599624534048 | (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) | |
| accuracy | 16.226272842733596 | (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) | |
| accuracy | 31.419267661971006 | #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) |
| 39.0ms | 233× | 0 | valid |
| 5.0ms | 11× | 2 | valid |
| 4.0ms | 12× | 1 | valid |
Compiled 290 to 52 computations (82.1% saved)
const: 13.0ms (35.5% of total)ival-mult: 9.0ms (24.6% of total)ival-div: 8.0ms (21.9% of total)ival-sub: 3.0ms (8.2% of total)ival-add: 2.0ms (5.5% of total)adjust: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/27 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
(/ 1/9 (pow x 2)) |
(/ (+ 1/9 (* 2/3 x)) (pow x 2)) |
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2)) |
(/ -1/27 (pow x 2)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 x) (pow x 2)) |
1/3 |
(+ 1/3 x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
1 |
(+ 1 (* 2/3 (/ 1 x))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) (- x -1/3)) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ -1/27 (* x x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 3.0ms | x | @ | 0 | ((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) (- x -1/3)) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ -1/27 (* x x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 2.0ms | x | @ | inf | ((/ (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) (* (/ (- x -1/3) (* x x)) (- x -1/3)) (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/ -1/27 (* x x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (* x x) (/ x (+ (* x (- x -1/3)) 1/9)) (* 9 x) (/ (- x -1/3) (* x x)) (- x -1/3) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 414 |
| 1 | 458 | 404 |
| 2 | 1125 | 388 |
| 3 | 3299 | 372 |
| 0 | 8215 | 359 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(/ 1/9 (pow x 2)) |
(/ (+ 1/9 (* 2/3 x)) (pow x 2)) |
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2)) |
(/ -1/27 (pow x 2)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* -27 x))) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 x) (pow x 2)) |
1/3 |
(+ 1/3 x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
1 |
(+ 1 (* 2/3 (/ 1 x))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(/ 1 x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
(/ 1/9 (pow x 2)) |
(/.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
(/ (+ 1/9 (* 2/3 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64)) x) x) |
(/ (+ 1/9 (* x (+ 2/3 x))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) x) x) |
(/ -1/27 (pow x 2)) |
(/.f64 #s(literal -1/27 binary64) (*.f64 x x)) |
(/ (- (* -1/9 x) 1/27) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) |
(/ (- (* x (- (* 1/3 x) 1/9)) 1/27) (pow x 2)) |
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) |
(/ (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) x)) x) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -27 x))) |
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (*.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x) |
(/ 1/3 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/ (+ 1/3 x) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(+.f64 #s(literal 1/3 binary64) x) |
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2/3 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) |
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) |
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) x)) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(-.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 134 |
| 0 | 40 | 134 |
| 1 | 168 | 130 |
| 2 | 1341 | 126 |
| 0 | 8241 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/27 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x)) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x)) (pow.f64 (pow.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 x x))) |
(pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) x) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x)))) (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64)))) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) x) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) x) (/.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (-.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))) (-.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 x x)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (neg.f64 x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x x) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 x x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(fma.f64 x (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) (/.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (/.f64 x (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 (*.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1/27 binary64) (pow.f64 (neg.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (neg.f64 (neg.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 #s(literal -1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(approx (- x -1/3) #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64))) |
Compiled 17 865 to 1 523 computations (91.5% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 0 | 443 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 443 | 5 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
| ✓ | 53.1% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ✓ | 24.9% | (/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 276 to 116 computations (58% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (- (- x -1/3) (* (/ (- x -1/3) (* x x)) 1/9)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) #s(approx (* (/ (- x -1/3) (* x x)) 1/9) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 6 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | x |
| 51.2% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 8 |
| 1 | 14 | 8 |
| 2 | 18 | 8 |
| 3 | 20 | 8 |
| 4 | 21 | 8 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 11 |
| 1 | 32 | 11 |
| 2 | 75 | 11 |
| 3 | 158 | 11 |
| 4 | 412 | 11 |
| 5 | 523 | 11 |
| 6 | 576 | 11 |
| 7 | 599 | 11 |
| 8 | 601 | 11 |
| 0 | 601 | 11 |
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 27 | 4 |
| 2 | 129 | 4 |
| 3 | 979 | 4 |
| 0 | 8557 | 4 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 19 to 18 computations (5.3% saved)
Compiled 30 to 28 computations (6.7% saved)
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