
Time bar (total: 4.7s)
| 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)
| 577.0ms | 8 256× | 0 | valid |
ival-div: 165.0ms (71.7% of total)ival-sub: 48.0ms (20.8% of total)exact: 8.0ms (3.5% of total)ival-true: 7.0ms (3% of total)ival-assert: 3.0ms (1.3% 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 42 to 24 computations (42.9% saved)
ival-div: 4.0ms (53% of total)ival-sub: 2.0ms (26.5% 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 | 64 | 6 |
| 4 | 97 | 6 |
| 5 | 105 | 6 |
| 6 | 107 | 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 | 0.0 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.01171875 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 15.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-sub: 6.0ms (68.2% of total)ival-div: 2.0ms (22.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #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 | 79 | 11 |
| 3 | 162 | 11 |
| 4 | 417 | 11 |
| 5 | 541 | 11 |
| 6 | 592 | 11 |
| 7 | 615 | 11 |
| 8 | 617 | 11 |
| 0 | 617 | 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 | 8649 | 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 (-.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 (/.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 (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 |
|---|---|---|
| ▶ | 58.9% | (/.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)))) |
| ▶ | 68.8% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
| ▶ | 68.7% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 49.0% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 158 to 82 computations (48.1% 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 | 0 | (-.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 | 3712 | (/.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 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) | |
| cost-diff | 192 | (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) | |
| cost-diff | 1536 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) | |
| cost-diff | 512 | (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) | |
| cost-diff | 1024 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) | |
| 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 | 30 | 218 |
| 0 | 48 | 212 |
| 1 | 110 | 212 |
| 2 | 414 | 173 |
| 3 | 1842 | 170 |
| 0 | 8141 | 159 |
| 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) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 x x) |
x |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/9 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 x x) |
x |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 9 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 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) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) x) |
(*.f64 x x) |
x |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/9 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 9 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 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 (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))) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (-.f64 x #s(literal -1/3 binary64)) 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 x #s(literal -1/3 binary64)) x) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) | |
| accuracy | 0.33888627930532605 | (*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) | |
| accuracy | 12.036230571121367 | (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) | |
| accuracy | 14.27053926208946 | (/.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 | 0.0390625 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) | |
| accuracy | 0.125 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) | |
| accuracy | 19.586945652988 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) | |
| accuracy | 0.029628759768442016 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) | |
| accuracy | 19.610383152988 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) | |
| accuracy | 32.40538230708151 | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) | |
| accuracy | 0.01171875 | (-.f64 x #s(literal 1/3 binary64)) |
| 63.0ms | 250× | 0 | valid |
| 1.0ms | 3× | 1 | valid |
| 1.0ms | 2× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 440 to 61 computations (86.1% saved)
const: 13.0ms (28.5% of total)ival-mult: 13.0ms (28.5% of total)ival-sub: 10.0ms (22% of total)ival-div: 8.0ms (17.6% of total)adjust: 1.0ms (2.2% 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)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 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 #s(literal -1/3 binary64)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 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) |
1/27 |
(+ 1/27 (* 1/9 x)) |
(+ 1/27 (* x (+ 1/9 (* -1/3 x)))) |
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) |
-1/27 |
(- (* -1/9 x) 1/27) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1/3)) |
(- (* -1 x) 1/3) |
(- (* x (- (* 3 x) 1)) 1/3) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
3 |
(+ 3 (* 9 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 9 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)) |
1/3 |
(+ 1/3 x) |
-1/9 |
(- (* -2/3 x) 1/9) |
(- (* x (- (* -1 x) 2/3)) 1/9) |
1 |
(+ 1 (* 6 x)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
(/ 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 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x))))) |
(* -1/9 x) |
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x))))) |
(* 9 (pow x 3)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(* 9 x) |
(* x (+ 9 (* 3 (/ 1 x)))) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) 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 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(/ 1 x) |
(/ (+ 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 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
(* -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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- x 1/3) (- x (/ 1 3)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (/ (- (- 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 -1/3) (* (- x -1/3) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) |
| 4.0ms | x | @ | 0 | ((- x 1/3) (- x (/ 1 3)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (/ (- (- 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 -1/3) (* (- x -1/3) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 9)) (/ (- x -1/3) (* x x)) (* (/ (- x -1/3) (* x x)) (- x -1/3))) |
| 3.0ms | x | @ | inf | ((- x 1/3) (- x (/ 1 3)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (* (* x x) (- -1/3 x)) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) 9) (* (* x x) (* (- x -1/3) 9)) (/ (- (- 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 -1/3) (* (- x -1/3) (- -1/3 x)) (* (- x -1/3) (* (- x -1/3) 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 | 186 | 559 |
| 1 | 539 | 540 |
| 2 | 1559 | 506 |
| 3 | 4716 | 478 |
| 0 | 8211 | 445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
1/27 |
(+ 1/27 (* 1/9 x)) |
(+ 1/27 (* x (+ 1/9 (* -1/3 x)))) |
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) |
-1/27 |
(- (* -1/9 x) 1/27) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1/3)) |
(- (* -1 x) 1/3) |
(- (* x (- (* 3 x) 1)) 1/3) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
3 |
(+ 3 (* 9 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 9 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)) |
1/3 |
(+ 1/3 x) |
-1/9 |
(- (* -2/3 x) 1/9) |
(- (* x (- (* -1 x) 2/3)) 1/9) |
1 |
(+ 1 (* 6 x)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
(/ 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 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x))))) |
(* -1/9 x) |
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x))))) |
(* 9 (pow x 3)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(* 9 x) |
(* x (+ 9 (* 3 (/ 1 x)))) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) 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 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(/ 1 x) |
(/ (+ 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 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
(* -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))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
1/27 |
#s(literal 1/27 binary64) |
(+ 1/27 (* 1/9 x)) |
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) |
(+ 1/27 (* x (+ 1/9 (* -1/3 x)))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) |
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) |
-1/27 |
#s(literal -1/27 binary64) |
(- (* -1/9 x) 1/27) |
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- (* -1 x) 1/3)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) x) |
(- (* -1 x) 1/3) |
(-.f64 #s(literal -1/3 binary64) x) |
(- (* x (- (* 3 x) 1)) 1/3) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 9 x)) |
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) |
(* 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) |
(/ 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 #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 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(-.f64 x #s(literal -1/3 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* -2/3 x) 1/9) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
(- (* x (- (* -1 x) 2/3)) 1/9) |
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 6 x)) |
(fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 x) (pow x 2)) |
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) 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 (fma.f64 (-.f64 x #s(literal -2/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 x x)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) x) |
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x))))) |
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) (neg.f64 x)) |
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) x) x) |
(* -1/9 x) |
(*.f64 #s(literal -1/9 binary64) x) |
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x))))) |
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)) |
(* 9 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 3 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) |
(/ 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)))) |
(-.f64 x #s(literal -1/3 binary64)) |
(* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2)))) |
(-.f64 x (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))) |
(* x (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x))))) |
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x) |
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) x)) x) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 #s(literal 9 binary64) x) x) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) 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)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -2/3 binary64)) x) #s(literal -1 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x))))) |
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) (neg.f64 x)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x))))) |
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) x) x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(-.f64 x (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1))) |
(-.f64 x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 188 |
| 0 | 48 | 188 |
| 1 | 200 | 180 |
| 2 | 1942 | 173 |
| 0 | 8810 | 163 |
| 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)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 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 #s(literal -1/3 binary64)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 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)) (fma.f64 x x #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))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 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))) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (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))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) x))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (-.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 -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 #s(literal -1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) (-.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 (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)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.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 (-.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 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (-.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 x (/.f64 x (-.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 (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)) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 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 x (/.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 #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)) (-.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 (-.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 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (-.f64 #s(literal -1/3 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))) |
(/.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 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x (/.f64 x (-.f64 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 (/.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 (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (/.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 (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))) |
(-.f64 (/.f64 x (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 x (-.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 51 086 to 4 729 computations (90.7% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 402 | 3 | 1 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 405 | 5 | 1 410 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.6% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) |
| ▶ | 48.7% | (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
| ▶ | 48.7% | (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.0% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 89 to 61 computations (31.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) | |
| cost-diff | 512 | (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 212 |
| 0 | 53 | 212 |
| 1 | 91 | 212 |
| 2 | 208 | 192 |
| 3 | 544 | 192 |
| 4 | 1440 | 192 |
| 5 | 3113 | 192 |
| 6 | 6521 | 192 |
| 0 | 8081 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
(-.f64 x #s(literal -1/3 binary64)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) |
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) |
#s(literal 1/9 binary64) |
x |
#s(literal 1/27 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(-.f64 #s(literal -1/3 binary64) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 x x) |
x |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/9 binary64) |
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
#s(literal -2/3 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) |
#s(literal 9 binary64) |
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))) |
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) |
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) |
#s(literal 1/9 binary64) |
x |
#s(literal 1/27 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(-.f64 #s(literal -1/3 binary64) x) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) x) |
(*.f64 x x) |
x |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/9 binary64) |
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
#s(literal -2/3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1875 | (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) | |
| accuracy | 19.610383152988 | (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) | |
| accuracy | 32.010122680217165 | #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) | |
| accuracy | 0.029628759768442016 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) | |
| accuracy | 0.19921875 | (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) | |
| accuracy | 19.610383152988 | (/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) | |
| accuracy | 32.99133680971419 | #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) | |
| accuracy | 0.0390625 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) | |
| accuracy | 0.125 | (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) | |
| accuracy | 19.586945652988 | (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) | |
| accuracy | 32.99372652663546 | #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
| 64.0ms | 250× | 0 | valid |
| 17.0ms | 3× | 1 | valid |
| 1.0ms | 2× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 400 to 63 computations (84.3% saved)
const: 33.0ms (48.2% of total)ival-mult: 22.0ms (32.2% of total)ival-sub: 7.0ms (10.2% of total)ival-div: 3.0ms (4.4% of total)ival-add: 2.0ms (2.9% of total)adjust: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) |
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 6 x)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
3 |
(+ 3 (* 9 x)) |
-1/3 |
(- x 1/3) |
(- (* -1 x) 1/3) |
(- (* x (- (* 3 x) 1)) 1/3) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
-1/9 |
(- (* -2/3 x) 1/9) |
(- (* x (- (* -1 x) 2/3)) 1/9) |
1/27 |
(+ 1/27 (* 1/9 x)) |
(+ 1/27 (* x (+ 1/9 (* -1/3 x)))) |
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) |
-1/27 |
(- (* -1/9 x) 1/27) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1/3)) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 9 x) |
(* x (+ 9 (* 3 (/ 1 x)))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* 9 (pow x 3)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x))))) |
(* 1/9 x) |
(* x (+ 1/9 (* 1/27 (/ 1 x)))) |
(* -1/9 x) |
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x))))) |
(* -2/3 x) |
(* -1 (* x (+ 2/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (* (* x x) (- -1/3 x)) (* (- x -1/3) (- -1/3 x)) (+ (* -2/3 x) -1/9)) |
| 1.0ms | x | @ | inf | ((* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (* (* x x) (- -1/3 x)) (* (- x -1/3) (- -1/3 x)) (+ (* -2/3 x) -1/9)) |
| 1.0ms | x | @ | 0 | ((* (- x -1/3) (* (- x -1/3) 9)) (* (- x -1/3) 9) (/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (- -1/3 x)) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (+ (* 1/9 x) 1/27) (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) -1/9) (/ (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (* (- x -1/3) (- -1/3 x))) (* (* x x) (- -1/3 x)) (* (- x -1/3) (- -1/3 x)) (+ (* -2/3 x) -1/9)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 369 |
| 1 | 414 | 356 |
| 2 | 1248 | 339 |
| 3 | 4098 | 329 |
| 0 | 8201 | 300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 6 x)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
3 |
(+ 3 (* 9 x)) |
-1/3 |
(- x 1/3) |
(- (* -1 x) 1/3) |
(- (* x (- (* 3 x) 1)) 1/3) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
-1/9 |
(- (* -2/3 x) 1/9) |
(- (* x (- (* -1 x) 2/3)) 1/9) |
1/27 |
(+ 1/27 (* 1/9 x)) |
(+ 1/27 (* x (+ 1/9 (* -1/3 x)))) |
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) |
-1/27 |
(- (* -1/9 x) 1/27) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1/3)) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 9 x) |
(* x (+ 9 (* 3 (/ 1 x)))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* 9 (pow x 3)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x))))) |
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x))))) |
(* 1/9 x) |
(* x (+ 1/9 (* 1/27 (/ 1 x)))) |
(* -1/9 x) |
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x))))) |
(* -2/3 x) |
(* -1 (* x (+ 2/3 (* 1/9 (/ 1 x))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 6 x)) |
(fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* 9 x)) |
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
(- (* -1 x) 1/3) |
(-.f64 #s(literal -1/3 binary64) x) |
(- (* x (- (* 3 x) 1)) 1/3) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* -2/3 x) 1/9) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
(- (* x (- (* -1 x) 2/3)) 1/9) |
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64)) |
1/27 |
#s(literal 1/27 binary64) |
(+ 1/27 (* 1/9 x)) |
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) |
(+ 1/27 (* x (+ 1/9 (* -1/3 x)))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) |
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64)) |
-1/27 |
#s(literal -1/27 binary64) |
(- (* -1/9 x) 1/27) |
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- (* -1 x) 1/3)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 3 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* 9 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x) |
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/3 binary64)) x)) x) x) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x) x) |
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 x #s(literal -1/3 binary64)))) |
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) x #s(literal -1/3 binary64)) x) x) |
(* 1/9 x) |
(*.f64 #s(literal 1/9 binary64) x) |
(* x (+ 1/9 (* 1/27 (/ 1 x)))) |
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) |
(* -1/9 x) |
(*.f64 #s(literal -1/9 binary64) x) |
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x))))) |
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)) |
(* -2/3 x) |
(*.f64 #s(literal -2/3 binary64) x) |
(* -1 (* x (+ 2/3 (* 1/9 (/ 1 x))))) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x))))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 x #s(literal -1/3 binary64)))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 180 |
| 0 | 53 | 180 |
| 1 | 187 | 176 |
| 2 | 1395 | 156 |
| 0 | 8633 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) |
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) |
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 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 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.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 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal -9 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 9 binary64)) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 #s(literal 9 binary64) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/27 binary64) (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 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 x x) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) x) (*.f64 x (*.f64 x (neg.f64 x)))) |
(fma.f64 x (*.f64 #s(literal -1/3 binary64) x) (*.f64 x (*.f64 (neg.f64 x) x))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) x)) (*.f64 x (*.f64 (neg.f64 x) x))) |
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))) |
(*.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal 1 binary64)) |
#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))) |
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -2/3 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 2/27 binary64))))))) |
(*.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)) (pow.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) |
(*.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2/27 binary64)))))) |
(*.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (pow.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 2/27 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -2/3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 2/27 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -2/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2/27 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 2/27 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -2/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2/27 binary64)))) (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2/27 binary64))))) |
(/.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/729 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 2/27 binary64))))) |
(fma.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
(fma.f64 x #s(literal -2/3 binary64) #s(literal -1/9 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -2/3 binary64) x))) (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -2/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))) |
(+.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal -1/9 binary64)) |
(+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -2/3 binary64) x)) |
Compiled 27 397 to 2 202 computations (92% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 1 | 694 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 2 | 2 |
| Total | 696 | 3 | 699 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.5% | (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.0% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 42 to 27 computations (35.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 74 |
| 0 | 20 | 74 |
| 1 | 42 | 74 |
| 2 | 93 | 70 |
| 3 | 247 | 70 |
| 4 | 715 | 70 |
| 5 | 1179 | 70 |
| 6 | 2085 | 70 |
| 7 | 3510 | 70 |
| 8 | 4035 | 70 |
| 9 | 4512 | 70 |
| 10 | 4977 | 70 |
| 11 | 5108 | 70 |
| 12 | 5147 | 70 |
| 13 | 5217 | 70 |
| 14 | 5228 | 70 |
| 15 | 5228 | 70 |
| 16 | 5228 | 70 |
| 17 | 5323 | 70 |
| 18 | 5335 | 70 |
| 19 | 5335 | 70 |
| 20 | 5380 | 70 |
| 0 | 5380 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)) |
#s(literal 6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
x |
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)) |
#s(literal 6 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 #s(literal -1/3 binary64) x) | |
| accuracy | 19.586945652988 | (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) | |
| accuracy | 32.21277704129822 | #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) | |
| accuracy | 33.23987299133211 | #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
| 48.0ms | 239× | 0 | valid |
| 2.0ms | 11× | 1 | valid |
| 1.0ms | 6× | 2 | valid |
Compiled 133 to 34 computations (74.4% saved)
ival-mult: 29.0ms (72.1% of total)const: 4.0ms (10% of total)ival-sub: 3.0ms (7.5% of total)ival-div: 2.0ms (5% of total)adjust: 1.0ms (2.5% of total)ival-add: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal -1/3 binary64) x) |
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) |
| Outputs |
|---|
-1/3 |
(- x 1/3) |
(- (* -1 x) 1/3) |
(- (* x (- (* 3 x) 1)) 1/3) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
1 |
(+ 1 (* 6 x)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* 9 (pow x 3)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (- -1/3 x) (* (- x -1/3) (* (- x -1/3) 9))) |
| 1.0ms | x | @ | inf | ((/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (- -1/3 x) (* (- x -1/3) (* (- x -1/3) 9))) |
| 1.0ms | x | @ | 0 | ((/ (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (* (- x -1/3) (* (- x -1/3) 9))) (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (- -1/3 x) (* (- x -1/3) (* (- x -1/3) 9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 151 |
| 1 | 210 | 147 |
| 2 | 592 | 143 |
| 3 | 1849 | 139 |
| 4 | 5518 | 139 |
| 0 | 8207 | 117 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(- (* -1 x) 1/3) |
(- (* x (- (* 3 x) 1)) 1/3) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
1 |
(+ 1 (* 6 x)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* 9 (pow x 3)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
(- (* -1 x) 1/3) |
(-.f64 #s(literal -1/3 binary64) x) |
(- (* x (- (* 3 x) 1)) 1/3) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
(- (* x (- (* x (+ 3 (* 9 x))) 1)) 1/3) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 6 x)) |
(fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 6 (* 9 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* 9 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 3) (+ 9 (* 3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (+ 9 (* 3 (/ 1 x))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) |
(* (pow x 3) (+ 9 (+ (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) (pow x 2))) (* 3 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) |
(-.f64 #s(literal -1/3 binary64) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (+ 9 (* 6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x) |
(* (pow x 2) (+ 9 (+ (* 6 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (- 3 (/ 1 x)) x)) 9))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (* -1 (/ (+ 1 (* 1/3 (/ 1 x))) x))) x)) 9))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 0 | 20 | 66 |
| 1 | 96 | 62 |
| 2 | 709 | 58 |
| 0 | 8535 | 54 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal -1/3 binary64) x) |
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) (/.f64 #s(literal -1 binary64) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) (/.f64 #s(literal -1 binary64) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(*.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (pow.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64)) (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) (/.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x))) |
(*.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) |
(neg.f64 (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (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 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (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)) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.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 (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 x #s(literal 3 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 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))))))) |
(/.f64 (-.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)) (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))) (fma.f64 (/.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))) (fma.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 (pow.f64 x #s(literal 3 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 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x x))) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)))) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1/27 binary64) (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 #s(literal -1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1/729 binary64) (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 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal -1/3 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (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 -1/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (neg.f64 x) #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 #s(literal -1/27 binary64) (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 (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.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 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(neg.f64 (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1/9 binary64) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 #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)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(fma.f64 x #s(literal -1 binary64) #s(literal -1/3 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (neg.f64 (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 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 (neg.f64 x) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 #s(literal -1/3 binary64) x) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (-.f64 #s(literal 0 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 #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 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 (*.f64 x 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))) (neg.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 (neg.f64 x) #s(literal -1/3 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
#s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64))))) |
Compiled 5 446 to 511 computations (90.6% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 0 | 134 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 134 | 3 | 137 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.5% | (/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.0% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 237 to 89 computations (62.4% 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))) |
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) #s(approx (* (- x -1/3) (* (- x -1/3) 9)) (fma.f64 #s(literal 6 binary64) x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(/.f64 #s(approx (- (* (* x x) (* (- x -1/3) 9)) (- x -1/3)) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 9 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:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | x |
| 49.0% | 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 | 15 | 8 |
| 2 | 22 | 8 |
| 3 | 29 | 8 |
| 4 | 40 | 8 |
| 5 | 57 | 8 |
| 6 | 114 | 8 |
| 7 | 365 | 8 |
| 8 | 3238 | 8 |
| 9 | 7280 | 8 |
| 1× | node limit |
| 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 | 79 | 11 |
| 3 | 162 | 11 |
| 4 | 417 | 11 |
| 5 | 541 | 11 |
| 6 | 592 | 11 |
| 7 | 615 | 11 |
| 8 | 617 | 11 |
| 0 | 617 | 11 |
| 0 | 5 | 4 |
| 0 | 8 | 4 |
| 1 | 27 | 4 |
| 2 | 129 | 4 |
| 3 | 979 | 4 |
| 0 | 8649 | 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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